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Finding the Fourth Proportional to 1,568.66, 2,354.10 and 645.06

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Solution

The fourth proportional to 1,568.66, 2,354.10 and 645.06 is: 968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.66 : 2,354.10 = 645.06 : x
  2. Step 2: Convert to fraction form
    1,568.66/2,354.10 = 645.06/x
  3. Step 3: Cross multiply
    1,568.66x = 2,354.10 × 645.06
  4. Step 4: Simplify right side
    1,568.66x = 1,518,520.75
  5. Step 5: Solve for x
    x = 1,518,520.75/1,568.66
  6. Step 6: Final answer
    x = 968.04

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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.