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Finding the Fourth Proportional to 829.60, 1,239.65 and 597.40

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Solution

The fourth proportional to 829.60, 1,239.65 and 597.40 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,239.65 = 597.40 : x
  2. Step 2: Convert to fraction form
    829.60/1,239.65 = 597.40/x
  3. Step 3: Cross multiply
    829.60x = 1,239.65 × 597.40
  4. Step 4: Simplify right side
    829.60x = 740,566.91
  5. Step 5: Solve for x
    x = 740,566.91/829.60
  6. Step 6: Final answer
    x = 892.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.