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Finding the Fourth Proportional to 1,032.97, 1,547.26 and 812.55

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Solution

The fourth proportional to 1,032.97, 1,547.26 and 812.55 is: 1,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.97 : 1,547.26 = 812.55 : x
  2. Step 2: Convert to fraction form
    1,032.97/1,547.26 = 812.55/x
  3. Step 3: Cross multiply
    1,032.97x = 1,547.26 × 812.55
  4. Step 4: Simplify right side
    1,032.97x = 1,257,226.11
  5. Step 5: Solve for x
    x = 1,257,226.11/1,032.97
  6. Step 6: Final answer
    x = 1,217.10

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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.