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Finding the Fourth Proportional to 753.37, 1,129.90 and 291.14

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Solution

The fourth proportional to 753.37, 1,129.90 and 291.14 is: 436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.37 : 1,129.90 = 291.14 : x
  2. Step 2: Convert to fraction form
    753.37/1,129.90 = 291.14/x
  3. Step 3: Cross multiply
    753.37x = 1,129.90 × 291.14
  4. Step 4: Simplify right side
    753.37x = 328,959.09
  5. Step 5: Solve for x
    x = 328,959.09/753.37
  6. Step 6: Final answer
    x = 436.65

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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.