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Finding the Fourth Proportional to 750.14, 1,124.76 and 230.00

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Solution

The fourth proportional to 750.14, 1,124.76 and 230.00 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.14 : 1,124.76 = 230.00 : x
  2. Step 2: Convert to fraction form
    750.14/1,124.76 = 230.00/x
  3. Step 3: Cross multiply
    750.14x = 1,124.76 × 230.00
  4. Step 4: Simplify right side
    750.14x = 258,689.18
  5. Step 5: Solve for x
    x = 258,689.18/750.14
  6. Step 6: Final answer
    x = 344.86

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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.