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Finding the Fourth Proportional to 779.51, 1,074.65 and 566.61

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Solution

The fourth proportional to 779.51, 1,074.65 and 566.61 is: 781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.51 : 1,074.65 = 566.61 : x
  2. Step 2: Convert to fraction form
    779.51/1,074.65 = 566.61/x
  3. Step 3: Cross multiply
    779.51x = 1,074.65 × 566.61
  4. Step 4: Simplify right side
    779.51x = 608,904.60
  5. Step 5: Solve for x
    x = 608,904.60/779.51
  6. Step 6: Final answer
    x = 781.14

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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.