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Finding the Fourth Proportional to 1,120.68, 1,681.06 and 471.87

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Solution

The fourth proportional to 1,120.68, 1,681.06 and 471.87 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.68 : 1,681.06 = 471.87 : x
  2. Step 2: Convert to fraction form
    1,120.68/1,681.06 = 471.87/x
  3. Step 3: Cross multiply
    1,120.68x = 1,681.06 × 471.87
  4. Step 4: Simplify right side
    1,120.68x = 793,241.78
  5. Step 5: Solve for x
    x = 793,241.78/1,120.68
  6. Step 6: Final answer
    x = 707.82

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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.