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Finding the Fourth Proportional to 1,064.46, 1,597.32 and 448.12

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Solution

The fourth proportional to 1,064.46, 1,597.32 and 448.12 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.46 : 1,597.32 = 448.12 : x
  2. Step 2: Convert to fraction form
    1,064.46/1,597.32 = 448.12/x
  3. Step 3: Cross multiply
    1,064.46x = 1,597.32 × 448.12
  4. Step 4: Simplify right side
    1,064.46x = 715,791.04
  5. Step 5: Solve for x
    x = 715,791.04/1,064.46
  6. Step 6: Final answer
    x = 672.45

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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.