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Finding the Fourth Proportional to 1,437.65, 1,983.93 and 906.43

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Solution

The fourth proportional to 1,437.65, 1,983.93 and 906.43 is: 1,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.65 : 1,983.93 = 906.43 : x
  2. Step 2: Convert to fraction form
    1,437.65/1,983.93 = 906.43/x
  3. Step 3: Cross multiply
    1,437.65x = 1,983.93 × 906.43
  4. Step 4: Simplify right side
    1,437.65x = 1,798,283.75
  5. Step 5: Solve for x
    x = 1,798,283.75/1,437.65
  6. Step 6: Final answer
    x = 1,250.85

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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.