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Finding the Fourth Proportional to 970.74, 1,339.49 and 577.71

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Solution

The fourth proportional to 970.74, 1,339.49 and 577.71 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.74 : 1,339.49 = 577.71 : x
  2. Step 2: Convert to fraction form
    970.74/1,339.49 = 577.71/x
  3. Step 3: Cross multiply
    970.74x = 1,339.49 × 577.71
  4. Step 4: Simplify right side
    970.74x = 773,838.21
  5. Step 5: Solve for x
    x = 773,838.21/970.74
  6. Step 6: Final answer
    x = 797.16

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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.