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Finding the Fourth Proportional to 1,041.48, 1,438.02 and 730.44

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Solution

The fourth proportional to 1,041.48, 1,438.02 and 730.44 is: 1,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.48 : 1,438.02 = 730.44 : x
  2. Step 2: Convert to fraction form
    1,041.48/1,438.02 = 730.44/x
  3. Step 3: Cross multiply
    1,041.48x = 1,438.02 × 730.44
  4. Step 4: Simplify right side
    1,041.48x = 1,050,387.33
  5. Step 5: Solve for x
    x = 1,050,387.33/1,041.48
  6. Step 6: Final answer
    x = 1,008.55

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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.