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Finding the Fourth Proportional to 1,487.40, 2,228.19 and 706.29

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Solution

The fourth proportional to 1,487.40, 2,228.19 and 706.29 is: 1,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.40 : 2,228.19 = 706.29 : x
  2. Step 2: Convert to fraction form
    1,487.40/2,228.19 = 706.29/x
  3. Step 3: Cross multiply
    1,487.40x = 2,228.19 × 706.29
  4. Step 4: Simplify right side
    1,487.40x = 1,573,741.28
  5. Step 5: Solve for x
    x = 1,573,741.28/1,487.40
  6. Step 6: Final answer
    x = 1,058.05

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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.