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Finding the Fourth Proportional to 1,064.33, 1,468.79 and 598.58

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Solution

The fourth proportional to 1,064.33, 1,468.79 and 598.58 is: 826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.33 : 1,468.79 = 598.58 : x
  2. Step 2: Convert to fraction form
    1,064.33/1,468.79 = 598.58/x
  3. Step 3: Cross multiply
    1,064.33x = 1,468.79 × 598.58
  4. Step 4: Simplify right side
    1,064.33x = 879,177.98
  5. Step 5: Solve for x
    x = 879,177.98/1,064.33
  6. Step 6: Final answer
    x = 826.04

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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.