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Finding the Fourth Proportional to 753.75, 1,130.25 and 314.87

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Solution

The fourth proportional to 753.75, 1,130.25 and 314.87 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,130.25 = 314.87 : x
  2. Step 2: Convert to fraction form
    753.75/1,130.25 = 314.87/x
  3. Step 3: Cross multiply
    753.75x = 1,130.25 × 314.87
  4. Step 4: Simplify right side
    753.75x = 355,881.82
  5. Step 5: Solve for x
    x = 355,881.82/753.75
  6. Step 6: Final answer
    x = 472.15

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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.