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Finding the Fourth Proportional to 971.03, 1,339.65 and 597.71

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Solution

The fourth proportional to 971.03, 1,339.65 and 597.71 is: 824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.03 : 1,339.65 = 597.71 : x
  2. Step 2: Convert to fraction form
    971.03/1,339.65 = 597.71/x
  3. Step 3: Cross multiply
    971.03x = 1,339.65 × 597.71
  4. Step 4: Simplify right side
    971.03x = 800,715.50
  5. Step 5: Solve for x
    x = 800,715.50/971.03
  6. Step 6: Final answer
    x = 824.61

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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.