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Finding the Fourth Proportional to 1,259.70, 1,740.69 and 909.78

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Solution

The fourth proportional to 1,259.70, 1,740.69 and 909.78 is: 1,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.70 : 1,740.69 = 909.78 : x
  2. Step 2: Convert to fraction form
    1,259.70/1,740.69 = 909.78/x
  3. Step 3: Cross multiply
    1,259.70x = 1,740.69 × 909.78
  4. Step 4: Simplify right side
    1,259.70x = 1,583,644.95
  5. Step 5: Solve for x
    x = 1,583,644.95/1,259.70
  6. Step 6: Final answer
    x = 1,257.16

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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.