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Finding the Fourth Proportional to 646.11, 970.24 and 598.15

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Solution

The fourth proportional to 646.11, 970.24 and 598.15 is: 898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 970.24 = 598.15 : x
  2. Step 2: Convert to fraction form
    646.11/970.24 = 598.15/x
  3. Step 3: Cross multiply
    646.11x = 970.24 × 598.15
  4. Step 4: Simplify right side
    646.11x = 580,349.06
  5. Step 5: Solve for x
    x = 580,349.06/646.11
  6. Step 6: Final answer
    x = 898.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.