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Finding the Fourth Proportional to 858.87, 1,288.14 and 507.61

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Solution

The fourth proportional to 858.87, 1,288.14 and 507.61 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.87 : 1,288.14 = 507.61 : x
  2. Step 2: Convert to fraction form
    858.87/1,288.14 = 507.61/x
  3. Step 3: Cross multiply
    858.87x = 1,288.14 × 507.61
  4. Step 4: Simplify right side
    858.87x = 653,872.75
  5. Step 5: Solve for x
    x = 653,872.75/858.87
  6. Step 6: Final answer
    x = 761.32

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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.