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Finding the Fourth Proportional to 1,148.18, 1,722.90 and 710.04

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Solution

The fourth proportional to 1,148.18, 1,722.90 and 710.04 is: 1,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.18 : 1,722.90 = 710.04 : x
  2. Step 2: Convert to fraction form
    1,148.18/1,722.90 = 710.04/x
  3. Step 3: Cross multiply
    1,148.18x = 1,722.90 × 710.04
  4. Step 4: Simplify right side
    1,148.18x = 1,223,327.92
  5. Step 5: Solve for x
    x = 1,223,327.92/1,148.18
  6. Step 6: Final answer
    x = 1,065.45

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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.