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Finding the Fourth Proportional to 779.10, 1,074.51 and 583.08

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Solution

The fourth proportional to 779.10, 1,074.51 and 583.08 is: 804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,074.51 = 583.08 : x
  2. Step 2: Convert to fraction form
    779.10/1,074.51 = 583.08/x
  3. Step 3: Cross multiply
    779.10x = 1,074.51 × 583.08
  4. Step 4: Simplify right side
    779.10x = 626,525.29
  5. Step 5: Solve for x
    x = 626,525.29/779.10
  6. Step 6: Final answer
    x = 804.17

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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.