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Finding the Fourth Proportional to 1,132.24, 1,698.67 and 645.63

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Solution

The fourth proportional to 1,132.24, 1,698.67 and 645.63 is: 968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.24 : 1,698.67 = 645.63 : x
  2. Step 2: Convert to fraction form
    1,132.24/1,698.67 = 645.63/x
  3. Step 3: Cross multiply
    1,132.24x = 1,698.67 × 645.63
  4. Step 4: Simplify right side
    1,132.24x = 1,096,712.31
  5. Step 5: Solve for x
    x = 1,096,712.31/1,132.24
  6. Step 6: Final answer
    x = 968.63

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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.