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Finding the Fourth Proportional to 1,146.66, 1,720.68 and 416.29

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Solution

The fourth proportional to 1,146.66, 1,720.68 and 416.29 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.66 : 1,720.68 = 416.29 : x
  2. Step 2: Convert to fraction form
    1,146.66/1,720.68 = 416.29/x
  3. Step 3: Cross multiply
    1,146.66x = 1,720.68 × 416.29
  4. Step 4: Simplify right side
    1,146.66x = 716,306.50
  5. Step 5: Solve for x
    x = 716,306.50/1,146.66
  6. Step 6: Final answer
    x = 624.69

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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.