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Finding the Fourth Proportional to 954.90, 1,433.70 and 590.40

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Solution

The fourth proportional to 954.90, 1,433.70 and 590.40 is: 886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.90 : 1,433.70 = 590.40 : x
  2. Step 2: Convert to fraction form
    954.90/1,433.70 = 590.40/x
  3. Step 3: Cross multiply
    954.90x = 1,433.70 × 590.40
  4. Step 4: Simplify right side
    954.90x = 846,456.48
  5. Step 5: Solve for x
    x = 846,456.48/954.90
  6. Step 6: Final answer
    x = 886.43

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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.