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Finding the Fourth Proportional to 1,310.64, 1,809.12 and 869.28

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Solution

The fourth proportional to 1,310.64, 1,809.12 and 869.28 is: 1,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.64 : 1,809.12 = 869.28 : x
  2. Step 2: Convert to fraction form
    1,310.64/1,809.12 = 869.28/x
  3. Step 3: Cross multiply
    1,310.64x = 1,809.12 × 869.28
  4. Step 4: Simplify right side
    1,310.64x = 1,572,631.83
  5. Step 5: Solve for x
    x = 1,572,631.83/1,310.64
  6. Step 6: Final answer
    x = 1,199.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.