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Finding the Fourth Proportional to 1,497.12, 2,065.46 and 907.44

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Solution

The fourth proportional to 1,497.12, 2,065.46 and 907.44 is: 1,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.12 : 2,065.46 = 907.44 : x
  2. Step 2: Convert to fraction form
    1,497.12/2,065.46 = 907.44/x
  3. Step 3: Cross multiply
    1,497.12x = 2,065.46 × 907.44
  4. Step 4: Simplify right side
    1,497.12x = 1,874,281.02
  5. Step 5: Solve for x
    x = 1,874,281.02/1,497.12
  6. Step 6: Final answer
    x = 1,251.92

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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.