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Finding the Fourth Proportional to 868.74, 1,303.11 and 292.02

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Solution

The fourth proportional to 868.74, 1,303.11 and 292.02 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.74 : 1,303.11 = 292.02 : x
  2. Step 2: Convert to fraction form
    868.74/1,303.11 = 292.02/x
  3. Step 3: Cross multiply
    868.74x = 1,303.11 × 292.02
  4. Step 4: Simplify right side
    868.74x = 380,534.18
  5. Step 5: Solve for x
    x = 380,534.18/868.74
  6. Step 6: Final answer
    x = 438.03

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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.