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Finding the Fourth Proportional to 1,122.68, 1,684.08 and 473.46

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Solution

The fourth proportional to 1,122.68, 1,684.08 and 473.46 is: 710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.68 : 1,684.08 = 473.46 : x
  2. Step 2: Convert to fraction form
    1,122.68/1,684.08 = 473.46/x
  3. Step 3: Cross multiply
    1,122.68x = 1,684.08 × 473.46
  4. Step 4: Simplify right side
    1,122.68x = 797,344.52
  5. Step 5: Solve for x
    x = 797,344.52/1,122.68
  6. Step 6: Final answer
    x = 710.22

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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.