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Finding the Fourth Proportional to 946.36, 1,306.36 and 615.07

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Solution

The fourth proportional to 946.36, 1,306.36 and 615.07 is: 849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.36 : 1,306.36 = 615.07 : x
  2. Step 2: Convert to fraction form
    946.36/1,306.36 = 615.07/x
  3. Step 3: Cross multiply
    946.36x = 1,306.36 × 615.07
  4. Step 4: Simplify right side
    946.36x = 803,502.85
  5. Step 5: Solve for x
    x = 803,502.85/946.36
  6. Step 6: Final answer
    x = 849.05

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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.