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Finding the Fourth Proportional to 1,089.39, 1,503.32 and 592.02

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Solution

The fourth proportional to 1,089.39, 1,503.32 and 592.02 is: 816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.39 : 1,503.32 = 592.02 : x
  2. Step 2: Convert to fraction form
    1,089.39/1,503.32 = 592.02/x
  3. Step 3: Cross multiply
    1,089.39x = 1,503.32 × 592.02
  4. Step 4: Simplify right side
    1,089.39x = 889,990.32
  5. Step 5: Solve for x
    x = 889,990.32/1,089.39
  6. Step 6: Final answer
    x = 816.96

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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.