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Finding the Fourth Proportional to 1,164.57, 1,746.33 and 725.82

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Solution

The fourth proportional to 1,164.57, 1,746.33 and 725.82 is: 1,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.57 : 1,746.33 = 725.82 : x
  2. Step 2: Convert to fraction form
    1,164.57/1,746.33 = 725.82/x
  3. Step 3: Cross multiply
    1,164.57x = 1,746.33 × 725.82
  4. Step 4: Simplify right side
    1,164.57x = 1,267,521.24
  5. Step 5: Solve for x
    x = 1,267,521.24/1,164.57
  6. Step 6: Final answer
    x = 1,088.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.