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Finding the Fourth Proportional to 1,354.74, 1,869.58 and 816.53

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Solution

The fourth proportional to 1,354.74, 1,869.58 and 816.53 is: 1,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.74 : 1,869.58 = 816.53 : x
  2. Step 2: Convert to fraction form
    1,354.74/1,869.58 = 816.53/x
  3. Step 3: Cross multiply
    1,354.74x = 1,869.58 × 816.53
  4. Step 4: Simplify right side
    1,354.74x = 1,526,558.81
  5. Step 5: Solve for x
    x = 1,526,558.81/1,354.74
  6. Step 6: Final answer
    x = 1,126.83

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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.