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Finding the Fourth Proportional to 869.13, 1,301.77 and 435.38

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Solution

The fourth proportional to 869.13, 1,301.77 and 435.38 is: 652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.13 : 1,301.77 = 435.38 : x
  2. Step 2: Convert to fraction form
    869.13/1,301.77 = 435.38/x
  3. Step 3: Cross multiply
    869.13x = 1,301.77 × 435.38
  4. Step 4: Simplify right side
    869.13x = 566,758.66
  5. Step 5: Solve for x
    x = 566,758.66/869.13
  6. Step 6: Final answer
    x = 652.10

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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.