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Finding the Fourth Proportional to 1,089.61, 1,503.69 and 592.27

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Solution

The fourth proportional to 1,089.61, 1,503.69 and 592.27 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.61 : 1,503.69 = 592.27 : x
  2. Step 2: Convert to fraction form
    1,089.61/1,503.69 = 592.27/x
  3. Step 3: Cross multiply
    1,089.61x = 1,503.69 × 592.27
  4. Step 4: Simplify right side
    1,089.61x = 890,586.72
  5. Step 5: Solve for x
    x = 890,586.72/1,089.61
  6. Step 6: Final answer
    x = 817.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.