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Finding the Fourth Proportional to 779.40, 1,075.01 and 499.41

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Solution

The fourth proportional to 779.40, 1,075.01 and 499.41 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.40 : 1,075.01 = 499.41 : x
  2. Step 2: Convert to fraction form
    779.40/1,075.01 = 499.41/x
  3. Step 3: Cross multiply
    779.40x = 1,075.01 × 499.41
  4. Step 4: Simplify right side
    779.40x = 536,868.25
  5. Step 5: Solve for x
    x = 536,868.25/779.40
  6. Step 6: Final answer
    x = 688.82

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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.