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Finding the Fourth Proportional to 1,403.12, 2,102.88 and 580.88

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Solution

The fourth proportional to 1,403.12, 2,102.88 and 580.88 is: 870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.12 : 2,102.88 = 580.88 : x
  2. Step 2: Convert to fraction form
    1,403.12/2,102.88 = 580.88/x
  3. Step 3: Cross multiply
    1,403.12x = 2,102.88 × 580.88
  4. Step 4: Simplify right side
    1,403.12x = 1,221,520.93
  5. Step 5: Solve for x
    x = 1,221,520.93/1,403.12
  6. Step 6: Final answer
    x = 870.57

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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.