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Finding the Fourth Proportional to 719.13, 1,075.86 and 514.20

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Solution

The fourth proportional to 719.13, 1,075.86 and 514.20 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.13 : 1,075.86 = 514.20 : x
  2. Step 2: Convert to fraction form
    719.13/1,075.86 = 514.20/x
  3. Step 3: Cross multiply
    719.13x = 1,075.86 × 514.20
  4. Step 4: Simplify right side
    719.13x = 553,207.21
  5. Step 5: Solve for x
    x = 553,207.21/719.13
  6. Step 6: Final answer
    x = 769.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.