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Finding the Fourth Proportional to 1,170.47, 1,755.72 and 304.79

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Solution

The fourth proportional to 1,170.47, 1,755.72 and 304.79 is: 457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.47 : 1,755.72 = 304.79 : x
  2. Step 2: Convert to fraction form
    1,170.47/1,755.72 = 304.79/x
  3. Step 3: Cross multiply
    1,170.47x = 1,755.72 × 304.79
  4. Step 4: Simplify right side
    1,170.47x = 535,117.12
  5. Step 5: Solve for x
    x = 535,117.12/1,170.47
  6. Step 6: Final answer
    x = 457.18

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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.