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Finding the Fourth Proportional to 587.24, 876.13 and 559.72

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Solution

The fourth proportional to 587.24, 876.13 and 559.72 is: 835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 876.13 = 559.72 : x
  2. Step 2: Convert to fraction form
    587.24/876.13 = 559.72/x
  3. Step 3: Cross multiply
    587.24x = 876.13 × 559.72
  4. Step 4: Simplify right side
    587.24x = 490,387.48
  5. Step 5: Solve for x
    x = 490,387.48/587.24
  6. Step 6: Final answer
    x = 835.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.