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Finding the Fourth Proportional to 1,140.76, 1,710.96 and 319.12

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Solution

The fourth proportional to 1,140.76, 1,710.96 and 319.12 is: 478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.76 : 1,710.96 = 319.12 : x
  2. Step 2: Convert to fraction form
    1,140.76/1,710.96 = 319.12/x
  3. Step 3: Cross multiply
    1,140.76x = 1,710.96 × 319.12
  4. Step 4: Simplify right side
    1,140.76x = 546,001.56
  5. Step 5: Solve for x
    x = 546,001.56/1,140.76
  6. Step 6: Final answer
    x = 478.63

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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.