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Finding the Fourth Proportional to 1,037.12, 1,430.52 and 880.80

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Solution

The fourth proportional to 1,037.12, 1,430.52 and 880.80 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.12 : 1,430.52 = 880.80 : x
  2. Step 2: Convert to fraction form
    1,037.12/1,430.52 = 880.80/x
  3. Step 3: Cross multiply
    1,037.12x = 1,430.52 × 880.80
  4. Step 4: Simplify right side
    1,037.12x = 1,260,002.02
  5. Step 5: Solve for x
    x = 1,260,002.02/1,037.12
  6. Step 6: Final answer
    x = 1,214.90

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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.