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Finding the Fourth Proportional to 1,178.08, 1,624.42 and 752.14

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Solution

The fourth proportional to 1,178.08, 1,624.42 and 752.14 is: 1,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.08 : 1,624.42 = 752.14 : x
  2. Step 2: Convert to fraction form
    1,178.08/1,624.42 = 752.14/x
  3. Step 3: Cross multiply
    1,178.08x = 1,624.42 × 752.14
  4. Step 4: Simplify right side
    1,178.08x = 1,221,791.26
  5. Step 5: Solve for x
    x = 1,221,791.26/1,178.08
  6. Step 6: Final answer
    x = 1,037.10

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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.