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Finding the Fourth Proportional to 1,306.12, 1,803.54 and 934.24

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Solution

The fourth proportional to 1,306.12, 1,803.54 and 934.24 is: 1,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.12 : 1,803.54 = 934.24 : x
  2. Step 2: Convert to fraction form
    1,306.12/1,803.54 = 934.24/x
  3. Step 3: Cross multiply
    1,306.12x = 1,803.54 × 934.24
  4. Step 4: Simplify right side
    1,306.12x = 1,684,939.21
  5. Step 5: Solve for x
    x = 1,684,939.21/1,306.12
  6. Step 6: Final answer
    x = 1,290.03

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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.