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Finding the Fourth Proportional to 1,290.00, 1,780.17 and 700.53

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Solution

The fourth proportional to 1,290.00, 1,780.17 and 700.53 is: 966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.00 : 1,780.17 = 700.53 : x
  2. Step 2: Convert to fraction form
    1,290.00/1,780.17 = 700.53/x
  3. Step 3: Cross multiply
    1,290.00x = 1,780.17 × 700.53
  4. Step 4: Simplify right side
    1,290.00x = 1,247,059.86
  5. Step 5: Solve for x
    x = 1,247,059.86/1,290.00
  6. Step 6: Final answer
    x = 966.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.