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Finding the Fourth Proportional to 875.20, 1,312.80 and 814.45

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Solution

The fourth proportional to 875.20, 1,312.80 and 814.45 is: 1,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.20 : 1,312.80 = 814.45 : x
  2. Step 2: Convert to fraction form
    875.20/1,312.80 = 814.45/x
  3. Step 3: Cross multiply
    875.20x = 1,312.80 × 814.45
  4. Step 4: Simplify right side
    875.20x = 1,069,209.96
  5. Step 5: Solve for x
    x = 1,069,209.96/875.20
  6. Step 6: Final answer
    x = 1,221.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.