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Finding the Fourth Proportional to 1,089.42, 1,503.40 and 592.06

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Solution

The fourth proportional to 1,089.42, 1,503.40 and 592.06 is: 817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.42 : 1,503.40 = 592.06 : x
  2. Step 2: Convert to fraction form
    1,089.42/1,503.40 = 592.06/x
  3. Step 3: Cross multiply
    1,089.42x = 1,503.40 × 592.06
  4. Step 4: Simplify right side
    1,089.42x = 890,103.00
  5. Step 5: Solve for x
    x = 890,103.00/1,089.42
  6. Step 6: Final answer
    x = 817.04

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