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Finding the Fourth Proportional to 1,090.53, 1,503.68 and 869.31

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Solution

The fourth proportional to 1,090.53, 1,503.68 and 869.31 is: 1,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.53 : 1,503.68 = 869.31 : x
  2. Step 2: Convert to fraction form
    1,090.53/1,503.68 = 869.31/x
  3. Step 3: Cross multiply
    1,090.53x = 1,503.68 × 869.31
  4. Step 4: Simplify right side
    1,090.53x = 1,307,159.71
  5. Step 5: Solve for x
    x = 1,307,159.71/1,090.53
  6. Step 6: Final answer
    x = 1,198.65

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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.