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Finding the Fourth Proportional to 1,064.64, 1,469.19 and 598.89

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Solution

The fourth proportional to 1,064.64, 1,469.19 and 598.89 is: 826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.64 : 1,469.19 = 598.89 : x
  2. Step 2: Convert to fraction form
    1,064.64/1,469.19 = 598.89/x
  3. Step 3: Cross multiply
    1,064.64x = 1,469.19 × 598.89
  4. Step 4: Simplify right side
    1,064.64x = 879,883.20
  5. Step 5: Solve for x
    x = 879,883.20/1,064.64
  6. Step 6: Final answer
    x = 826.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.