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Finding the Fourth Proportional to 1,145.90, 1,580.34 and 747.41

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Solution

The fourth proportional to 1,145.90, 1,580.34 and 747.41 is: 1,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.90 : 1,580.34 = 747.41 : x
  2. Step 2: Convert to fraction form
    1,145.90/1,580.34 = 747.41/x
  3. Step 3: Cross multiply
    1,145.90x = 1,580.34 × 747.41
  4. Step 4: Simplify right side
    1,145.90x = 1,181,161.92
  5. Step 5: Solve for x
    x = 1,181,161.92/1,145.90
  6. Step 6: Final answer
    x = 1,030.77

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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.