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Finding the Fourth Proportional to 1,543.65, 2,315.84 and 448.04

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Solution

The fourth proportional to 1,543.65, 2,315.84 and 448.04 is: 672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.65 : 2,315.84 = 448.04 : x
  2. Step 2: Convert to fraction form
    1,543.65/2,315.84 = 448.04/x
  3. Step 3: Cross multiply
    1,543.65x = 2,315.84 × 448.04
  4. Step 4: Simplify right side
    1,543.65x = 1,037,575.13
  5. Step 5: Solve for x
    x = 1,037,575.13/1,543.65
  6. Step 6: Final answer
    x = 672.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.