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Finding the Fourth Proportional to 779.81, 1,075.62 and 592.88

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Solution

The fourth proportional to 779.81, 1,075.62 and 592.88 is: 817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.81 : 1,075.62 = 592.88 : x
  2. Step 2: Convert to fraction form
    779.81/1,075.62 = 592.88/x
  3. Step 3: Cross multiply
    779.81x = 1,075.62 × 592.88
  4. Step 4: Simplify right side
    779.81x = 637,713.59
  5. Step 5: Solve for x
    x = 637,713.59/779.81
  6. Step 6: Final answer
    x = 817.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.