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Finding the Fourth Proportional to 1,124.23, 1,551.81 and 875.17

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Solution

The fourth proportional to 1,124.23, 1,551.81 and 875.17 is: 1,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.23 : 1,551.81 = 875.17 : x
  2. Step 2: Convert to fraction form
    1,124.23/1,551.81 = 875.17/x
  3. Step 3: Cross multiply
    1,124.23x = 1,551.81 × 875.17
  4. Step 4: Simplify right side
    1,124.23x = 1,358,097.56
  5. Step 5: Solve for x
    x = 1,358,097.56/1,124.23
  6. Step 6: Final answer
    x = 1,208.02

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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.