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Finding the Fourth Proportional to 1,045.36, 1,568.30 and 737.82

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Solution

The fourth proportional to 1,045.36, 1,568.30 and 737.82 is: 1,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.36 : 1,568.30 = 737.82 : x
  2. Step 2: Convert to fraction form
    1,045.36/1,568.30 = 737.82/x
  3. Step 3: Cross multiply
    1,045.36x = 1,568.30 × 737.82
  4. Step 4: Simplify right side
    1,045.36x = 1,157,115.26
  5. Step 5: Solve for x
    x = 1,157,115.26/1,045.36
  6. Step 6: Final answer
    x = 1,106.91

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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.