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Finding the Fourth Proportional to 1,064.90, 1,597.68 and 448.89

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Solution

The fourth proportional to 1,064.90, 1,597.68 and 448.89 is: 673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.90 : 1,597.68 = 448.89 : x
  2. Step 2: Convert to fraction form
    1,064.90/1,597.68 = 448.89/x
  3. Step 3: Cross multiply
    1,064.90x = 1,597.68 × 448.89
  4. Step 4: Simplify right side
    1,064.90x = 717,182.58
  5. Step 5: Solve for x
    x = 717,182.58/1,064.90
  6. Step 6: Final answer
    x = 673.48

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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.