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Finding the Fourth Proportional to 646.70, 971.22 and 592.47

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Solution

The fourth proportional to 646.70, 971.22 and 592.47 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.70 : 971.22 = 592.47 : x
  2. Step 2: Convert to fraction form
    646.70/971.22 = 592.47/x
  3. Step 3: Cross multiply
    646.70x = 971.22 × 592.47
  4. Step 4: Simplify right side
    646.70x = 575,418.71
  5. Step 5: Solve for x
    x = 575,418.71/646.70
  6. Step 6: Final answer
    x = 889.78

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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.