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Finding the Fourth Proportional to 1,424.64, 2,134.53 and 774.21

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Solution

The fourth proportional to 1,424.64, 2,134.53 and 774.21 is: 1,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.64 : 2,134.53 = 774.21 : x
  2. Step 2: Convert to fraction form
    1,424.64/2,134.53 = 774.21/x
  3. Step 3: Cross multiply
    1,424.64x = 2,134.53 × 774.21
  4. Step 4: Simplify right side
    1,424.64x = 1,652,574.47
  5. Step 5: Solve for x
    x = 1,652,574.47/1,424.64
  6. Step 6: Final answer
    x = 1,159.99

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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.