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Finding the Fourth Proportional to 1,003.60, 1,503.78 and 592.84

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Solution

The fourth proportional to 1,003.60, 1,503.78 and 592.84 is: 888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.60 : 1,503.78 = 592.84 : x
  2. Step 2: Convert to fraction form
    1,003.60/1,503.78 = 592.84/x
  3. Step 3: Cross multiply
    1,003.60x = 1,503.78 × 592.84
  4. Step 4: Simplify right side
    1,003.60x = 891,500.94
  5. Step 5: Solve for x
    x = 891,500.94/1,003.60
  6. Step 6: Final answer
    x = 888.30

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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.