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Finding the Fourth Proportional to 1,010.29, 1,514.80 and 316.76

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Solution

The fourth proportional to 1,010.29, 1,514.80 and 316.76 is: 474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.29 : 1,514.80 = 316.76 : x
  2. Step 2: Convert to fraction form
    1,010.29/1,514.80 = 316.76/x
  3. Step 3: Cross multiply
    1,010.29x = 1,514.80 × 316.76
  4. Step 4: Simplify right side
    1,010.29x = 479,828.05
  5. Step 5: Solve for x
    x = 479,828.05/1,010.29
  6. Step 6: Final answer
    x = 474.94

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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.