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Finding the Fourth Proportional to 1,293.47, 1,938.46 and 707.59

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Solution

The fourth proportional to 1,293.47, 1,938.46 and 707.59 is: 1,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.47 : 1,938.46 = 707.59 : x
  2. Step 2: Convert to fraction form
    1,293.47/1,938.46 = 707.59/x
  3. Step 3: Cross multiply
    1,293.47x = 1,938.46 × 707.59
  4. Step 4: Simplify right side
    1,293.47x = 1,371,624.00
  5. Step 5: Solve for x
    x = 1,371,624.00/1,293.47
  6. Step 6: Final answer
    x = 1,060.42

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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.