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Finding the Fourth Proportional to 970.86, 1,454.85 and 677.10

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Solution

The fourth proportional to 970.86, 1,454.85 and 677.10 is: 1,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,454.85 = 677.10 : x
  2. Step 2: Convert to fraction form
    970.86/1,454.85 = 677.10/x
  3. Step 3: Cross multiply
    970.86x = 1,454.85 × 677.10
  4. Step 4: Simplify right side
    970.86x = 985,078.94
  5. Step 5: Solve for x
    x = 985,078.94/970.86
  6. Step 6: Final answer
    x = 1,014.65

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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.