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Finding the Fourth Proportional to 1,029, 1,543.50 and 854.04

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Solution

The fourth proportional to 1,029, 1,543.50 and 854.04 is: 1,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029 : 1,543.50 = 854.04 : x
  2. Step 2: Convert to fraction form
    1,029/1,543.50 = 854.04/x
  3. Step 3: Cross multiply
    1,029x = 1,543.50 × 854.04
  4. Step 4: Simplify right side
    1,029x = 1,318,210.74
  5. Step 5: Solve for x
    x = 1,318,210.74/1,029
  6. Step 6: Final answer
    x = 1,281.06

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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.