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Finding the Fourth Proportional to 646.11, 962.64 and 615.15

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Solution

The fourth proportional to 646.11, 962.64 and 615.15 is: 916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 962.64 = 615.15 : x
  2. Step 2: Convert to fraction form
    646.11/962.64 = 615.15/x
  3. Step 3: Cross multiply
    646.11x = 962.64 × 615.15
  4. Step 4: Simplify right side
    646.11x = 592,168.00
  5. Step 5: Solve for x
    x = 592,168.00/646.11
  6. Step 6: Final answer
    x = 916.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.