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Finding the Fourth Proportional to 858.47, 1,184.40 and 579.02

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Solution

The fourth proportional to 858.47, 1,184.40 and 579.02 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.47 : 1,184.40 = 579.02 : x
  2. Step 2: Convert to fraction form
    858.47/1,184.40 = 579.02/x
  3. Step 3: Cross multiply
    858.47x = 1,184.40 × 579.02
  4. Step 4: Simplify right side
    858.47x = 685,785.37
  5. Step 5: Solve for x
    x = 685,785.37/858.47
  6. Step 6: Final answer
    x = 798.85

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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.