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Finding the Fourth Proportional to 779.53, 1,075.64 and 500.02

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Solution

The fourth proportional to 779.53, 1,075.64 and 500.02 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.53 : 1,075.64 = 500.02 : x
  2. Step 2: Convert to fraction form
    779.53/1,075.64 = 500.02/x
  3. Step 3: Cross multiply
    779.53x = 1,075.64 × 500.02
  4. Step 4: Simplify right side
    779.53x = 537,839.01
  5. Step 5: Solve for x
    x = 537,839.01/779.53
  6. Step 6: Final answer
    x = 689.95

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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.