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Finding the Fourth Proportional to 779.13, 1,074.36 and 590.50

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Solution

The fourth proportional to 779.13, 1,074.36 and 590.50 is: 814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.13 : 1,074.36 = 590.50 : x
  2. Step 2: Convert to fraction form
    779.13/1,074.36 = 590.50/x
  3. Step 3: Cross multiply
    779.13x = 1,074.36 × 590.50
  4. Step 4: Simplify right side
    779.13x = 634,409.58
  5. Step 5: Solve for x
    x = 634,409.58/779.13
  6. Step 6: Final answer
    x = 814.25

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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.