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Finding the Fourth Proportional to 1,068.07, 1,601.73 and 410.13

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Solution

The fourth proportional to 1,068.07, 1,601.73 and 410.13 is: 615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.07 : 1,601.73 = 410.13 : x
  2. Step 2: Convert to fraction form
    1,068.07/1,601.73 = 410.13/x
  3. Step 3: Cross multiply
    1,068.07x = 1,601.73 × 410.13
  4. Step 4: Simplify right side
    1,068.07x = 656,917.52
  5. Step 5: Solve for x
    x = 656,917.52/1,068.07
  6. Step 6: Final answer
    x = 615.05

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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.