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Finding the Fourth Proportional to 805.51, 1,111.80 and 526.44

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Solution

The fourth proportional to 805.51, 1,111.80 and 526.44 is: 726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.51 : 1,111.80 = 526.44 : x
  2. Step 2: Convert to fraction form
    805.51/1,111.80 = 526.44/x
  3. Step 3: Cross multiply
    805.51x = 1,111.80 × 526.44
  4. Step 4: Simplify right side
    805.51x = 585,295.99
  5. Step 5: Solve for x
    x = 585,295.99/805.51
  6. Step 6: Final answer
    x = 726.62

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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.