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Finding the Fourth Proportional to 1,026.33, 1,539.53 and 377.07

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Solution

The fourth proportional to 1,026.33, 1,539.53 and 377.07 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,539.53 = 377.07 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,539.53 = 377.07/x
  3. Step 3: Cross multiply
    1,026.33x = 1,539.53 × 377.07
  4. Step 4: Simplify right side
    1,026.33x = 580,508.69
  5. Step 5: Solve for x
    x = 580,508.69/1,026.33
  6. Step 6: Final answer
    x = 565.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.