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Finding the Fourth Proportional to 1,059.46, 1,588.78 and 648.78

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Solution

The fourth proportional to 1,059.46, 1,588.78 and 648.78 is: 972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.46 : 1,588.78 = 648.78 : x
  2. Step 2: Convert to fraction form
    1,059.46/1,588.78 = 648.78/x
  3. Step 3: Cross multiply
    1,059.46x = 1,588.78 × 648.78
  4. Step 4: Simplify right side
    1,059.46x = 1,030,768.69
  5. Step 5: Solve for x
    x = 1,030,768.69/1,059.46
  6. Step 6: Final answer
    x = 972.92

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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.