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Finding the Fourth Proportional to 1,046.74, 1,568.06 and 717.64

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Solution

The fourth proportional to 1,046.74, 1,568.06 and 717.64 is: 1,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.74 : 1,568.06 = 717.64 : x
  2. Step 2: Convert to fraction form
    1,046.74/1,568.06 = 717.64/x
  3. Step 3: Cross multiply
    1,046.74x = 1,568.06 × 717.64
  4. Step 4: Simplify right side
    1,046.74x = 1,125,302.58
  5. Step 5: Solve for x
    x = 1,125,302.58/1,046.74
  6. Step 6: Final answer
    x = 1,075.05

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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.