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Finding the Fourth Proportional to 652.76, 974.07 and 594.55

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Solution

The fourth proportional to 652.76, 974.07 and 594.55 is: 887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 974.07 = 594.55 : x
  2. Step 2: Convert to fraction form
    652.76/974.07 = 594.55/x
  3. Step 3: Cross multiply
    652.76x = 974.07 × 594.55
  4. Step 4: Simplify right side
    652.76x = 579,125.48
  5. Step 5: Solve for x
    x = 579,125.48/652.76
  6. Step 6: Final answer
    x = 887.20

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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.