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Finding the Fourth Proportional to 690.39, 952.16 and 615.74

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Solution

The fourth proportional to 690.39, 952.16 and 615.74 is: 849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 952.16 = 615.74 : x
  2. Step 2: Convert to fraction form
    690.39/952.16 = 615.74/x
  3. Step 3: Cross multiply
    690.39x = 952.16 × 615.74
  4. Step 4: Simplify right side
    690.39x = 586,275.16
  5. Step 5: Solve for x
    x = 586,275.16/690.39
  6. Step 6: Final answer
    x = 849.19

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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.