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Finding the Fourth Proportional to 1,041.42, 1,437.02 and 668.48

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Solution

The fourth proportional to 1,041.42, 1,437.02 and 668.48 is: 922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.42 : 1,437.02 = 668.48 : x
  2. Step 2: Convert to fraction form
    1,041.42/1,437.02 = 668.48/x
  3. Step 3: Cross multiply
    1,041.42x = 1,437.02 × 668.48
  4. Step 4: Simplify right side
    1,041.42x = 960,619.13
  5. Step 5: Solve for x
    x = 960,619.13/1,041.42
  6. Step 6: Final answer
    x = 922.41

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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.