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Finding the Fourth Proportional to 591, 884.64 and 503.52

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Solution

The fourth proportional to 591, 884.64 and 503.52 is: 753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 884.64 = 503.52 : x
  2. Step 2: Convert to fraction form
    591/884.64 = 503.52/x
  3. Step 3: Cross multiply
    591x = 884.64 × 503.52
  4. Step 4: Simplify right side
    591x = 445,433.93
  5. Step 5: Solve for x
    x = 445,433.93/591
  6. Step 6: Final answer
    x = 753.70

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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.