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Finding the Fourth Proportional to 1,497.07, 2,065.88 and 833.98

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Solution

The fourth proportional to 1,497.07, 2,065.88 and 833.98 is: 1,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.07 : 2,065.88 = 833.98 : x
  2. Step 2: Convert to fraction form
    1,497.07/2,065.88 = 833.98/x
  3. Step 3: Cross multiply
    1,497.07x = 2,065.88 × 833.98
  4. Step 4: Simplify right side
    1,497.07x = 1,722,899.52
  5. Step 5: Solve for x
    x = 1,722,899.52/1,497.07
  6. Step 6: Final answer
    x = 1,150.85

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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.