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Finding the Fourth Proportional to 1,610.76, 2,415.66 and 514.86

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Solution

The fourth proportional to 1,610.76, 2,415.66 and 514.86 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.76 : 2,415.66 = 514.86 : x
  2. Step 2: Convert to fraction form
    1,610.76/2,415.66 = 514.86/x
  3. Step 3: Cross multiply
    1,610.76x = 2,415.66 × 514.86
  4. Step 4: Simplify right side
    1,610.76x = 1,243,726.71
  5. Step 5: Solve for x
    x = 1,243,726.71/1,610.76
  6. Step 6: Final answer
    x = 772.14

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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.