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Finding the Fourth Proportional to 1,041.95, 1,562.92 and 448.72

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Solution

The fourth proportional to 1,041.95, 1,562.92 and 448.72 is: 673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.95 : 1,562.92 = 448.72 : x
  2. Step 2: Convert to fraction form
    1,041.95/1,562.92 = 448.72/x
  3. Step 3: Cross multiply
    1,041.95x = 1,562.92 × 448.72
  4. Step 4: Simplify right side
    1,041.95x = 701,318.49
  5. Step 5: Solve for x
    x = 701,318.49/1,041.95
  6. Step 6: Final answer
    x = 673.08

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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.