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Finding the Fourth Proportional to 1,064.64, 1,597.24 and 448

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Solution

The fourth proportional to 1,064.64, 1,597.24 and 448 is: 672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,597.24 = 448 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,597.24 = 448/x
  3. Step 3: Cross multiply
    1,064.64x = 1,597.24 × 448
  4. Step 4: Simplify right side
    1,064.64x = 715,563.52
  5. Step 5: Solve for x
    x = 715,563.52/1,064.64
  6. Step 6: Final answer
    x = 672.12

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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.