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Finding the Fourth Proportional to 646.45, 963.25 and 615.07

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Solution

The fourth proportional to 646.45, 963.25 and 615.07 is: 916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 963.25 = 615.07 : x
  2. Step 2: Convert to fraction form
    646.45/963.25 = 615.07/x
  3. Step 3: Cross multiply
    646.45x = 963.25 × 615.07
  4. Step 4: Simplify right side
    646.45x = 592,466.18
  5. Step 5: Solve for x
    x = 592,466.18/646.45
  6. Step 6: Final answer
    x = 916.49

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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.