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Finding the Fourth Proportional to 926.80, 1,279.16 and 595.64

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Solution

The fourth proportional to 926.80, 1,279.16 and 595.64 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.80 : 1,279.16 = 595.64 : x
  2. Step 2: Convert to fraction form
    926.80/1,279.16 = 595.64/x
  3. Step 3: Cross multiply
    926.80x = 1,279.16 × 595.64
  4. Step 4: Simplify right side
    926.80x = 761,918.86
  5. Step 5: Solve for x
    x = 761,918.86/926.80
  6. Step 6: Final answer
    x = 822.10

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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.