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Finding the Fourth Proportional to 874.68, 1,312.03 and 387.74

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Solution

The fourth proportional to 874.68, 1,312.03 and 387.74 is: 581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,312.03 = 387.74 : x
  2. Step 2: Convert to fraction form
    874.68/1,312.03 = 387.74/x
  3. Step 3: Cross multiply
    874.68x = 1,312.03 × 387.74
  4. Step 4: Simplify right side
    874.68x = 508,726.51
  5. Step 5: Solve for x
    x = 508,726.51/874.68
  6. Step 6: Final answer
    x = 581.61

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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.