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Finding the Fourth Proportional to 970.94, 1,456.77 and 451.19

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Solution

The fourth proportional to 970.94, 1,456.77 and 451.19 is: 676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.94 : 1,456.77 = 451.19 : x
  2. Step 2: Convert to fraction form
    970.94/1,456.77 = 451.19/x
  3. Step 3: Cross multiply
    970.94x = 1,456.77 × 451.19
  4. Step 4: Simplify right side
    970.94x = 657,280.06
  5. Step 5: Solve for x
    x = 657,280.06/970.94
  6. Step 6: Final answer
    x = 676.95

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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.