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Finding the Fourth Proportional to 924.35, 1,385.21 and 507.00

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Solution

The fourth proportional to 924.35, 1,385.21 and 507.00 is: 759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.35 : 1,385.21 = 507.00 : x
  2. Step 2: Convert to fraction form
    924.35/1,385.21 = 507.00/x
  3. Step 3: Cross multiply
    924.35x = 1,385.21 × 507.00
  4. Step 4: Simplify right side
    924.35x = 702,298.91
  5. Step 5: Solve for x
    x = 702,298.91/924.35
  6. Step 6: Final answer
    x = 759.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.