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Finding the Fourth Proportional to 1,170.56, 1,754.74 and 400.52

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Solution

The fourth proportional to 1,170.56, 1,754.74 and 400.52 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.56 : 1,754.74 = 400.52 : x
  2. Step 2: Convert to fraction form
    1,170.56/1,754.74 = 400.52/x
  3. Step 3: Cross multiply
    1,170.56x = 1,754.74 × 400.52
  4. Step 4: Simplify right side
    1,170.56x = 702,808.46
  5. Step 5: Solve for x
    x = 702,808.46/1,170.56
  6. Step 6: Final answer
    x = 600.40

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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.