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Finding the Fourth Proportional to 587.10, 883.83 and 527.57

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Solution

The fourth proportional to 587.10, 883.83 and 527.57 is: 794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.10 : 883.83 = 527.57 : x
  2. Step 2: Convert to fraction form
    587.10/883.83 = 527.57/x
  3. Step 3: Cross multiply
    587.10x = 883.83 × 527.57
  4. Step 4: Simplify right side
    587.10x = 466,275.14
  5. Step 5: Solve for x
    x = 466,275.14/587.10
  6. Step 6: Final answer
    x = 794.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.