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Finding the Fourth Proportional to 1,010.69, 1,514.94 and 425.55

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Solution

The fourth proportional to 1,010.69, 1,514.94 and 425.55 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.69 : 1,514.94 = 425.55 : x
  2. Step 2: Convert to fraction form
    1,010.69/1,514.94 = 425.55/x
  3. Step 3: Cross multiply
    1,010.69x = 1,514.94 × 425.55
  4. Step 4: Simplify right side
    1,010.69x = 644,682.72
  5. Step 5: Solve for x
    x = 644,682.72/1,010.69
  6. Step 6: Final answer
    x = 637.86

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