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Finding the Fourth Proportional to 1,259.47, 1,737.93 and 728.27

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Solution

The fourth proportional to 1,259.47, 1,737.93 and 728.27 is: 1,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.47 : 1,737.93 = 728.27 : x
  2. Step 2: Convert to fraction form
    1,259.47/1,737.93 = 728.27/x
  3. Step 3: Cross multiply
    1,259.47x = 1,737.93 × 728.27
  4. Step 4: Simplify right side
    1,259.47x = 1,265,683.53
  5. Step 5: Solve for x
    x = 1,265,683.53/1,259.47
  6. Step 6: Final answer
    x = 1,004.93

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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.