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Finding the Fourth Proportional to 753.19, 1,129.33 and 313.91

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Solution

The fourth proportional to 753.19, 1,129.33 and 313.91 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.19 : 1,129.33 = 313.91 : x
  2. Step 2: Convert to fraction form
    753.19/1,129.33 = 313.91/x
  3. Step 3: Cross multiply
    753.19x = 1,129.33 × 313.91
  4. Step 4: Simplify right side
    753.19x = 354,510.02
  5. Step 5: Solve for x
    x = 354,510.02/753.19
  6. Step 6: Final answer
    x = 470.68

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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.