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Finding the Fourth Proportional to 874.65, 1,207.13 and 520.74

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Solution

The fourth proportional to 874.65, 1,207.13 and 520.74 is: 718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.65 : 1,207.13 = 520.74 : x
  2. Step 2: Convert to fraction form
    874.65/1,207.13 = 520.74/x
  3. Step 3: Cross multiply
    874.65x = 1,207.13 × 520.74
  4. Step 4: Simplify right side
    874.65x = 628,598.27
  5. Step 5: Solve for x
    x = 628,598.27/874.65
  6. Step 6: Final answer
    x = 718.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.