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Finding the Fourth Proportional to 1,292.10, 1,937.08 and 599.27

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Solution

The fourth proportional to 1,292.10, 1,937.08 and 599.27 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.10 : 1,937.08 = 599.27 : x
  2. Step 2: Convert to fraction form
    1,292.10/1,937.08 = 599.27/x
  3. Step 3: Cross multiply
    1,292.10x = 1,937.08 × 599.27
  4. Step 4: Simplify right side
    1,292.10x = 1,160,821.25
  5. Step 5: Solve for x
    x = 1,160,821.25/1,292.10
  6. Step 6: Final answer
    x = 898.40

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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.