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Finding the Fourth Proportional to 779.94, 1,075.86 and 593.10

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Solution

The fourth proportional to 779.94, 1,075.86 and 593.10 is: 818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.94 : 1,075.86 = 593.10 : x
  2. Step 2: Convert to fraction form
    779.94/1,075.86 = 593.10/x
  3. Step 3: Cross multiply
    779.94x = 1,075.86 × 593.10
  4. Step 4: Simplify right side
    779.94x = 638,092.57
  5. Step 5: Solve for x
    x = 638,092.57/779.94
  6. Step 6: Final answer
    x = 818.13

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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.