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Finding the Fourth Proportional to 1,412.47, 2,117.44 and 534.80

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Solution

The fourth proportional to 1,412.47, 2,117.44 and 534.80 is: 801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.47 : 2,117.44 = 534.80 : x
  2. Step 2: Convert to fraction form
    1,412.47/2,117.44 = 534.80/x
  3. Step 3: Cross multiply
    1,412.47x = 2,117.44 × 534.80
  4. Step 4: Simplify right side
    1,412.47x = 1,132,410.87
  5. Step 5: Solve for x
    x = 1,132,410.87/1,412.47
  6. Step 6: Final answer
    x = 801.73

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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.