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Finding the Fourth Proportional to 970.49, 1,339.34 and 597.87

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Solution

The fourth proportional to 970.49, 1,339.34 and 597.87 is: 825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.49 : 1,339.34 = 597.87 : x
  2. Step 2: Convert to fraction form
    970.49/1,339.34 = 597.87/x
  3. Step 3: Cross multiply
    970.49x = 1,339.34 × 597.87
  4. Step 4: Simplify right side
    970.49x = 800,748.22
  5. Step 5: Solve for x
    x = 800,748.22/970.49
  6. Step 6: Final answer
    x = 825.09

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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.