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Finding the Fourth Proportional to 1,112.30, 1,535 and 614.93

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Solution

The fourth proportional to 1,112.30, 1,535 and 614.93 is: 848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.30 : 1,535 = 614.93 : x
  2. Step 2: Convert to fraction form
    1,112.30/1,535 = 614.93/x
  3. Step 3: Cross multiply
    1,112.30x = 1,535 × 614.93
  4. Step 4: Simplify right side
    1,112.30x = 943,917.55
  5. Step 5: Solve for x
    x = 943,917.55/1,112.30
  6. Step 6: Final answer
    x = 848.62

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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.