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Finding the Fourth Proportional to 926.82, 1,277.91 and 595.26

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Solution

The fourth proportional to 926.82, 1,277.91 and 595.26 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.82 : 1,277.91 = 595.26 : x
  2. Step 2: Convert to fraction form
    926.82/1,277.91 = 595.26/x
  3. Step 3: Cross multiply
    926.82x = 1,277.91 × 595.26
  4. Step 4: Simplify right side
    926.82x = 760,688.71
  5. Step 5: Solve for x
    x = 760,688.71/926.82
  6. Step 6: Final answer
    x = 820.75

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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.