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Finding the Fourth Proportional to 1,259.16, 1,737.08 and 761.48

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Solution

The fourth proportional to 1,259.16, 1,737.08 and 761.48 is: 1,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.16 : 1,737.08 = 761.48 : x
  2. Step 2: Convert to fraction form
    1,259.16/1,737.08 = 761.48/x
  3. Step 3: Cross multiply
    1,259.16x = 1,737.08 × 761.48
  4. Step 4: Simplify right side
    1,259.16x = 1,322,751.68
  5. Step 5: Solve for x
    x = 1,322,751.68/1,259.16
  6. Step 6: Final answer
    x = 1,050.50

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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.