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Finding the Fourth Proportional to 972.87, 1,340.90 and 926.74

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Solution

The fourth proportional to 972.87, 1,340.90 and 926.74 is: 1,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.87 : 1,340.90 = 926.74 : x
  2. Step 2: Convert to fraction form
    972.87/1,340.90 = 926.74/x
  3. Step 3: Cross multiply
    972.87x = 1,340.90 × 926.74
  4. Step 4: Simplify right side
    972.87x = 1,242,671.40
  5. Step 5: Solve for x
    x = 1,242,671.40/972.87
  6. Step 6: Final answer
    x = 1,277.32

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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.