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Finding the Fourth Proportional to 652.81, 977.57 and 506.32

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Solution

The fourth proportional to 652.81, 977.57 and 506.32 is: 758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.81 : 977.57 = 506.32 : x
  2. Step 2: Convert to fraction form
    652.81/977.57 = 506.32/x
  3. Step 3: Cross multiply
    652.81x = 977.57 × 506.32
  4. Step 4: Simplify right side
    652.81x = 494,960.17
  5. Step 5: Solve for x
    x = 494,960.17/652.81
  6. Step 6: Final answer
    x = 758.20

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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.