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Finding the Fourth Proportional to 970.67, 1,339.43 and 566.91

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Solution

The fourth proportional to 970.67, 1,339.43 and 566.91 is: 782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.67 : 1,339.43 = 566.91 : x
  2. Step 2: Convert to fraction form
    970.67/1,339.43 = 566.91/x
  3. Step 3: Cross multiply
    970.67x = 1,339.43 × 566.91
  4. Step 4: Simplify right side
    970.67x = 759,333.43
  5. Step 5: Solve for x
    x = 759,333.43/970.67
  6. Step 6: Final answer
    x = 782.28

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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.