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Finding the Fourth Proportional to 1,010.03, 1,514.97 and 601.76

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Solution

The fourth proportional to 1,010.03, 1,514.97 and 601.76 is: 902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.03 : 1,514.97 = 601.76 : x
  2. Step 2: Convert to fraction form
    1,010.03/1,514.97 = 601.76/x
  3. Step 3: Cross multiply
    1,010.03x = 1,514.97 × 601.76
  4. Step 4: Simplify right side
    1,010.03x = 911,652.13
  5. Step 5: Solve for x
    x = 911,652.13/1,010.03
  6. Step 6: Final answer
    x = 902.60

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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.