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Finding the Fourth Proportional to 1,244.40, 1,864.92 and 594.24

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Solution

The fourth proportional to 1,244.40, 1,864.92 and 594.24 is: 890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.40 : 1,864.92 = 594.24 : x
  2. Step 2: Convert to fraction form
    1,244.40/1,864.92 = 594.24/x
  3. Step 3: Cross multiply
    1,244.40x = 1,864.92 × 594.24
  4. Step 4: Simplify right side
    1,244.40x = 1,108,210.06
  5. Step 5: Solve for x
    x = 1,108,210.06/1,244.40
  6. Step 6: Final answer
    x = 890.56

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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.