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Finding the Fourth Proportional to 750.15, 1,125.18 and 256.59

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Solution

The fourth proportional to 750.15, 1,125.18 and 256.59 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.15 : 1,125.18 = 256.59 : x
  2. Step 2: Convert to fraction form
    750.15/1,125.18 = 256.59/x
  3. Step 3: Cross multiply
    750.15x = 1,125.18 × 256.59
  4. Step 4: Simplify right side
    750.15x = 288,709.94
  5. Step 5: Solve for x
    x = 288,709.94/750.15
  6. Step 6: Final answer
    x = 384.87

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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.