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Finding the Fourth Proportional to 746.04, 1,029.05 and 588.62

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Solution

The fourth proportional to 746.04, 1,029.05 and 588.62 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.04 : 1,029.05 = 588.62 : x
  2. Step 2: Convert to fraction form
    746.04/1,029.05 = 588.62/x
  3. Step 3: Cross multiply
    746.04x = 1,029.05 × 588.62
  4. Step 4: Simplify right side
    746.04x = 605,718.77
  5. Step 5: Solve for x
    x = 605,718.77/746.04
  6. Step 6: Final answer
    x = 811.92

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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.