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Finding the Fourth Proportional to 1,092.61, 1,506.03 and 856.17

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Solution

The fourth proportional to 1,092.61, 1,506.03 and 856.17 is: 1,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.61 : 1,506.03 = 856.17 : x
  2. Step 2: Convert to fraction form
    1,092.61/1,506.03 = 856.17/x
  3. Step 3: Cross multiply
    1,092.61x = 1,506.03 × 856.17
  4. Step 4: Simplify right side
    1,092.61x = 1,289,417.71
  5. Step 5: Solve for x
    x = 1,289,417.71/1,092.61
  6. Step 6: Final answer
    x = 1,180.13

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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.