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Finding the Fourth Proportional to 1,437.28, 1,983.47 and 807.84

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Solution

The fourth proportional to 1,437.28, 1,983.47 and 807.84 is: 1,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.28 : 1,983.47 = 807.84 : x
  2. Step 2: Convert to fraction form
    1,437.28/1,983.47 = 807.84/x
  3. Step 3: Cross multiply
    1,437.28x = 1,983.47 × 807.84
  4. Step 4: Simplify right side
    1,437.28x = 1,602,322.37
  5. Step 5: Solve for x
    x = 1,602,322.37/1,437.28
  6. Step 6: Final answer
    x = 1,114.83

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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.