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Finding the Fourth Proportional to 946.56, 1,306.76 and 615.18

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Solution

The fourth proportional to 946.56, 1,306.76 and 615.18 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,306.76 = 615.18 : x
  2. Step 2: Convert to fraction form
    946.56/1,306.76 = 615.18/x
  3. Step 3: Cross multiply
    946.56x = 1,306.76 × 615.18
  4. Step 4: Simplify right side
    946.56x = 803,892.62
  5. Step 5: Solve for x
    x = 803,892.62/946.56
  6. Step 6: Final answer
    x = 849.28

Related Problems

Find fourth proportional to 473.28, 653.38 and 307.59
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.