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Finding the Fourth Proportional to 1,284.90, 1,772.66 and 907.34

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Solution

The fourth proportional to 1,284.90, 1,772.66 and 907.34 is: 1,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.90 : 1,772.66 = 907.34 : x
  2. Step 2: Convert to fraction form
    1,284.90/1,772.66 = 907.34/x
  3. Step 3: Cross multiply
    1,284.90x = 1,772.66 × 907.34
  4. Step 4: Simplify right side
    1,284.90x = 1,608,391.92
  5. Step 5: Solve for x
    x = 1,608,391.92/1,284.90
  6. Step 6: Final answer
    x = 1,251.76

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1.5x scale

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.