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Finding the Fourth Proportional to 868.12, 1,302.23 and 435.13

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Solution

The fourth proportional to 868.12, 1,302.23 and 435.13 is: 652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.12 : 1,302.23 = 435.13 : x
  2. Step 2: Convert to fraction form
    868.12/1,302.23 = 435.13/x
  3. Step 3: Cross multiply
    868.12x = 1,302.23 × 435.13
  4. Step 4: Simplify right side
    868.12x = 566,639.34
  5. Step 5: Solve for x
    x = 566,639.34/868.12
  6. Step 6: Final answer
    x = 652.72

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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.