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Finding the Fourth Proportional to 1,266.17, 1,746.77 and 824.11

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Solution

The fourth proportional to 1,266.17, 1,746.77 and 824.11 is: 1,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.17 : 1,746.77 = 824.11 : x
  2. Step 2: Convert to fraction form
    1,266.17/1,746.77 = 824.11/x
  3. Step 3: Cross multiply
    1,266.17x = 1,746.77 × 824.11
  4. Step 4: Simplify right side
    1,266.17x = 1,439,522.14
  5. Step 5: Solve for x
    x = 1,439,522.14/1,266.17
  6. Step 6: Final answer
    x = 1,136.92

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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.