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Finding the Fourth Proportional to 1,064.64, 1,597.04 and 371.22

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Solution

The fourth proportional to 1,064.64, 1,597.04 and 371.22 is: 556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,597.04 = 371.22 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,597.04 = 371.22/x
  3. Step 3: Cross multiply
    1,064.64x = 1,597.04 × 371.22
  4. Step 4: Simplify right side
    1,064.64x = 592,855.33
  5. Step 5: Solve for x
    x = 592,855.33/1,064.64
  6. Step 6: Final answer
    x = 556.86

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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.