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Finding the Fourth Proportional to 617.64, 924.82 and 509.91

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Solution

The fourth proportional to 617.64, 924.82 and 509.91 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 924.82 = 509.91 : x
  2. Step 2: Convert to fraction form
    617.64/924.82 = 509.91/x
  3. Step 3: Cross multiply
    617.64x = 924.82 × 509.91
  4. Step 4: Simplify right side
    617.64x = 471,573.69
  5. Step 5: Solve for x
    x = 471,573.69/617.64
  6. Step 6: Final answer
    x = 763.51

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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.