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Finding the Fourth Proportional to 1,580.64, 2,370.96 and 800.52

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Solution

The fourth proportional to 1,580.64, 2,370.96 and 800.52 is: 1,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.64 : 2,370.96 = 800.52 : x
  2. Step 2: Convert to fraction form
    1,580.64/2,370.96 = 800.52/x
  3. Step 3: Cross multiply
    1,580.64x = 2,370.96 × 800.52
  4. Step 4: Simplify right side
    1,580.64x = 1,898,000.90
  5. Step 5: Solve for x
    x = 1,898,000.90/1,580.64
  6. Step 6: Final answer
    x = 1,200.78

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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.