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Finding the Fourth Proportional to 652.60, 977.10 and 507.40

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Solution

The fourth proportional to 652.60, 977.10 and 507.40 is: 759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 977.10 = 507.40 : x
  2. Step 2: Convert to fraction form
    652.60/977.10 = 507.40/x
  3. Step 3: Cross multiply
    652.60x = 977.10 × 507.40
  4. Step 4: Simplify right side
    652.60x = 495,780.54
  5. Step 5: Solve for x
    x = 495,780.54/652.60
  6. Step 6: Final answer
    x = 759.70

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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.