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Finding the Fourth Proportional to 912.39, 1,259.52 and 534.23

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Solution

The fourth proportional to 912.39, 1,259.52 and 534.23 is: 737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.39 : 1,259.52 = 534.23 : x
  2. Step 2: Convert to fraction form
    912.39/1,259.52 = 534.23/x
  3. Step 3: Cross multiply
    912.39x = 1,259.52 × 534.23
  4. Step 4: Simplify right side
    912.39x = 672,876.51
  5. Step 5: Solve for x
    x = 672,876.51/912.39
  6. Step 6: Final answer
    x = 737.49

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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.