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Finding the Fourth Proportional to 646.12, 962.76 and 614.74

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Solution

The fourth proportional to 646.12, 962.76 and 614.74 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 962.76 = 614.74 : x
  2. Step 2: Convert to fraction form
    646.12/962.76 = 614.74/x
  3. Step 3: Cross multiply
    646.12x = 962.76 × 614.74
  4. Step 4: Simplify right side
    646.12x = 591,847.06
  5. Step 5: Solve for x
    x = 591,847.06/646.12
  6. Step 6: Final answer
    x = 916.00

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