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Finding the Fourth Proportional to 1,046.07, 1,565.65 and 698.58

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Solution

The fourth proportional to 1,046.07, 1,565.65 and 698.58 is: 1,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,565.65 = 698.58 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,565.65 = 698.58/x
  3. Step 3: Cross multiply
    1,046.07x = 1,565.65 × 698.58
  4. Step 4: Simplify right side
    1,046.07x = 1,093,731.78
  5. Step 5: Solve for x
    x = 1,093,731.78/1,046.07
  6. Step 6: Final answer
    x = 1,045.56

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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.