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Finding the Fourth Proportional to 898.75, 1,240.68 and 666.28

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Solution

The fourth proportional to 898.75, 1,240.68 and 666.28 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,240.68 = 666.28 : x
  2. Step 2: Convert to fraction form
    898.75/1,240.68 = 666.28/x
  3. Step 3: Cross multiply
    898.75x = 1,240.68 × 666.28
  4. Step 4: Simplify right side
    898.75x = 826,640.27
  5. Step 5: Solve for x
    x = 826,640.27/898.75
  6. Step 6: Final answer
    x = 919.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.