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Finding the Fourth Proportional to 869.64, 1,302.44 and 435.76

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Solution

The fourth proportional to 869.64, 1,302.44 and 435.76 is: 652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.64 : 1,302.44 = 435.76 : x
  2. Step 2: Convert to fraction form
    869.64/1,302.44 = 435.76/x
  3. Step 3: Cross multiply
    869.64x = 1,302.44 × 435.76
  4. Step 4: Simplify right side
    869.64x = 567,551.25
  5. Step 5: Solve for x
    x = 567,551.25/869.64
  6. Step 6: Final answer
    x = 652.63

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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.