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Finding the Fourth Proportional to 795.50, 1,098.12 and 526.31

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Solution

The fourth proportional to 795.50, 1,098.12 and 526.31 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.50 : 1,098.12 = 526.31 : x
  2. Step 2: Convert to fraction form
    795.50/1,098.12 = 526.31/x
  3. Step 3: Cross multiply
    795.50x = 1,098.12 × 526.31
  4. Step 4: Simplify right side
    795.50x = 577,946.05
  5. Step 5: Solve for x
    x = 577,946.05/795.50
  6. Step 6: Final answer
    x = 726.52

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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.