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Finding the Fourth Proportional to 970.76, 1,339.16 and 577.56

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Solution

The fourth proportional to 970.76, 1,339.16 and 577.56 is: 796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.76 : 1,339.16 = 577.56 : x
  2. Step 2: Convert to fraction form
    970.76/1,339.16 = 577.56/x
  3. Step 3: Cross multiply
    970.76x = 1,339.16 × 577.56
  4. Step 4: Simplify right side
    970.76x = 773,445.25
  5. Step 5: Solve for x
    x = 773,445.25/970.76
  6. Step 6: Final answer
    x = 796.74

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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.