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Finding the Fourth Proportional to 970.91, 1,340.19 and 577.92

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Solution

The fourth proportional to 970.91, 1,340.19 and 577.92 is: 797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.91 : 1,340.19 = 577.92 : x
  2. Step 2: Convert to fraction form
    970.91/1,340.19 = 577.92/x
  3. Step 3: Cross multiply
    970.91x = 1,340.19 × 577.92
  4. Step 4: Simplify right side
    970.91x = 774,522.60
  5. Step 5: Solve for x
    x = 774,522.60/970.91
  6. Step 6: Final answer
    x = 797.73

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Double scale
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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.