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Finding the Fourth Proportional to 1,145.65, 1,579.92 and 747.62

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Solution

The fourth proportional to 1,145.65, 1,579.92 and 747.62 is: 1,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.65 : 1,579.92 = 747.62 : x
  2. Step 2: Convert to fraction form
    1,145.65/1,579.92 = 747.62/x
  3. Step 3: Cross multiply
    1,145.65x = 1,579.92 × 747.62
  4. Step 4: Simplify right side
    1,145.65x = 1,181,179.79
  5. Step 5: Solve for x
    x = 1,181,179.79/1,145.65
  6. Step 6: Final answer
    x = 1,031.01

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1.5x scale

Why These Related Problems?

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