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Finding the Fourth Proportional to 1,302.74, 1,797.57 and 805.71

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Solution

The fourth proportional to 1,302.74, 1,797.57 and 805.71 is: 1,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.74 : 1,797.57 = 805.71 : x
  2. Step 2: Convert to fraction form
    1,302.74/1,797.57 = 805.71/x
  3. Step 3: Cross multiply
    1,302.74x = 1,797.57 × 805.71
  4. Step 4: Simplify right side
    1,302.74x = 1,448,320.12
  5. Step 5: Solve for x
    x = 1,448,320.12/1,302.74
  6. Step 6: Final answer
    x = 1,111.75

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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.