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Finding the Fourth Proportional to 779.01, 1,075.47 and 514.21

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Solution

The fourth proportional to 779.01, 1,075.47 and 514.21 is: 709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.01 : 1,075.47 = 514.21 : x
  2. Step 2: Convert to fraction form
    779.01/1,075.47 = 514.21/x
  3. Step 3: Cross multiply
    779.01x = 1,075.47 × 514.21
  4. Step 4: Simplify right side
    779.01x = 553,017.43
  5. Step 5: Solve for x
    x = 553,017.43/779.01
  6. Step 6: Final answer
    x = 709.90

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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.