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Finding the Fourth Proportional to 975.44, 1,464.60 and 590.96

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Solution

The fourth proportional to 975.44, 1,464.60 and 590.96 is: 887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.44 : 1,464.60 = 590.96 : x
  2. Step 2: Convert to fraction form
    975.44/1,464.60 = 590.96/x
  3. Step 3: Cross multiply
    975.44x = 1,464.60 × 590.96
  4. Step 4: Simplify right side
    975.44x = 865,520.02
  5. Step 5: Solve for x
    x = 865,520.02/975.44
  6. Step 6: Final answer
    x = 887.31

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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.