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Finding the Fourth Proportional to 1,259.34, 1,737.78 and 728.13

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Solution

The fourth proportional to 1,259.34, 1,737.78 and 728.13 is: 1,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.34 : 1,737.78 = 728.13 : x
  2. Step 2: Convert to fraction form
    1,259.34/1,737.78 = 728.13/x
  3. Step 3: Cross multiply
    1,259.34x = 1,737.78 × 728.13
  4. Step 4: Simplify right side
    1,259.34x = 1,265,329.75
  5. Step 5: Solve for x
    x = 1,265,329.75/1,259.34
  6. Step 6: Final answer
    x = 1,004.76

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1.5x scale

Why These Related Problems?

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