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Finding the Fourth Proportional to 652.43, 973.19 and 590.87

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Solution

The fourth proportional to 652.43, 973.19 and 590.87 is: 881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 973.19 = 590.87 : x
  2. Step 2: Convert to fraction form
    652.43/973.19 = 590.87/x
  3. Step 3: Cross multiply
    652.43x = 973.19 × 590.87
  4. Step 4: Simplify right side
    652.43x = 575,023.17
  5. Step 5: Solve for x
    x = 575,023.17/652.43
  6. Step 6: Final answer
    x = 881.36

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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.