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Finding the Fourth Proportional to 975.68, 1,464.08 and 585.80

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Solution

The fourth proportional to 975.68, 1,464.08 and 585.80 is: 879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.68 : 1,464.08 = 585.80 : x
  2. Step 2: Convert to fraction form
    975.68/1,464.08 = 585.80/x
  3. Step 3: Cross multiply
    975.68x = 1,464.08 × 585.80
  4. Step 4: Simplify right side
    975.68x = 857,658.06
  5. Step 5: Solve for x
    x = 857,658.06/975.68
  6. Step 6: Final answer
    x = 879.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.