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Finding the Fourth Proportional to 1,543.95, 2,315.21 and 448.07

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Solution

The fourth proportional to 1,543.95, 2,315.21 and 448.07 is: 671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.95 : 2,315.21 = 448.07 : x
  2. Step 2: Convert to fraction form
    1,543.95/2,315.21 = 448.07/x
  3. Step 3: Cross multiply
    1,543.95x = 2,315.21 × 448.07
  4. Step 4: Simplify right side
    1,543.95x = 1,037,362.33
  5. Step 5: Solve for x
    x = 1,037,362.33/1,543.95
  6. Step 6: Final answer
    x = 671.89

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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.