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Finding the Fourth Proportional to 779.17, 1,164.23 and 590.31

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Solution

The fourth proportional to 779.17, 1,164.23 and 590.31 is: 882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.17 : 1,164.23 = 590.31 : x
  2. Step 2: Convert to fraction form
    779.17/1,164.23 = 590.31/x
  3. Step 3: Cross multiply
    779.17x = 1,164.23 × 590.31
  4. Step 4: Simplify right side
    779.17x = 687,256.61
  5. Step 5: Solve for x
    x = 687,256.61/779.17
  6. Step 6: Final answer
    x = 882.04

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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.