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Finding the Fourth Proportional to 1,543.31, 2,315.58 and 569.49

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Solution

The fourth proportional to 1,543.31, 2,315.58 and 569.49 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.31 : 2,315.58 = 569.49 : x
  2. Step 2: Convert to fraction form
    1,543.31/2,315.58 = 569.49/x
  3. Step 3: Cross multiply
    1,543.31x = 2,315.58 × 569.49
  4. Step 4: Simplify right side
    1,543.31x = 1,318,699.65
  5. Step 5: Solve for x
    x = 1,318,699.65/1,543.31
  6. Step 6: Final answer
    x = 854.46

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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.