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Finding the Fourth Proportional to 1,041.91, 1,437.75 and 643.46

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Solution

The fourth proportional to 1,041.91, 1,437.75 and 643.46 is: 887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.91 : 1,437.75 = 643.46 : x
  2. Step 2: Convert to fraction form
    1,041.91/1,437.75 = 643.46/x
  3. Step 3: Cross multiply
    1,041.91x = 1,437.75 × 643.46
  4. Step 4: Simplify right side
    1,041.91x = 925,134.62
  5. Step 5: Solve for x
    x = 925,134.62/1,041.91
  6. Step 6: Final answer
    x = 887.92

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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.