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Finding the Fourth Proportional to 646.20, 967.65 and 592.74

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Solution

The fourth proportional to 646.20, 967.65 and 592.74 is: 887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.20 : 967.65 = 592.74 : x
  2. Step 2: Convert to fraction form
    646.20/967.65 = 592.74/x
  3. Step 3: Cross multiply
    646.20x = 967.65 × 592.74
  4. Step 4: Simplify right side
    646.20x = 573,564.86
  5. Step 5: Solve for x
    x = 573,564.86/646.20
  6. Step 6: Final answer
    x = 887.60

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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.