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Finding the Fourth Proportional to 1,660.68, 2,490.41 and 564.75

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Solution

The fourth proportional to 1,660.68, 2,490.41 and 564.75 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.68 : 2,490.41 = 564.75 : x
  2. Step 2: Convert to fraction form
    1,660.68/2,490.41 = 564.75/x
  3. Step 3: Cross multiply
    1,660.68x = 2,490.41 × 564.75
  4. Step 4: Simplify right side
    1,660.68x = 1,406,460.46
  5. Step 5: Solve for x
    x = 1,406,460.46/1,660.68
  6. Step 6: Final answer
    x = 846.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.