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Finding the Fourth Proportional to 1,024.76, 1,414.16 and 610.76

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Solution

The fourth proportional to 1,024.76, 1,414.16 and 610.76 is: 842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.76 : 1,414.16 = 610.76 : x
  2. Step 2: Convert to fraction form
    1,024.76/1,414.16 = 610.76/x
  3. Step 3: Cross multiply
    1,024.76x = 1,414.16 × 610.76
  4. Step 4: Simplify right side
    1,024.76x = 863,712.36
  5. Step 5: Solve for x
    x = 863,712.36/1,024.76
  6. Step 6: Final answer
    x = 842.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.