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Finding the Fourth Proportional to 1,265.43, 1,746.29 and 824.07

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Solution

The fourth proportional to 1,265.43, 1,746.29 and 824.07 is: 1,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.43 : 1,746.29 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,265.43/1,746.29 = 824.07/x
  3. Step 3: Cross multiply
    1,265.43x = 1,746.29 × 824.07
  4. Step 4: Simplify right side
    1,265.43x = 1,439,061.08
  5. Step 5: Solve for x
    x = 1,439,061.08/1,265.43
  6. Step 6: Final answer
    x = 1,137.21

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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.