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Finding the Fourth Proportional to 585.15, 876.99 and 511.85

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Solution

The fourth proportional to 585.15, 876.99 and 511.85 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.15 : 876.99 = 511.85 : x
  2. Step 2: Convert to fraction form
    585.15/876.99 = 511.85/x
  3. Step 3: Cross multiply
    585.15x = 876.99 × 511.85
  4. Step 4: Simplify right side
    585.15x = 448,889.52
  5. Step 5: Solve for x
    x = 448,889.52/585.15
  6. Step 6: Final answer
    x = 767.14

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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.