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Finding the Fourth Proportional to 1,061.37, 1,464.08 and 619.21

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Solution

The fourth proportional to 1,061.37, 1,464.08 and 619.21 is: 854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.37 : 1,464.08 = 619.21 : x
  2. Step 2: Convert to fraction form
    1,061.37/1,464.08 = 619.21/x
  3. Step 3: Cross multiply
    1,061.37x = 1,464.08 × 619.21
  4. Step 4: Simplify right side
    1,061.37x = 906,571.71
  5. Step 5: Solve for x
    x = 906,571.71/1,061.37
  6. Step 6: Final answer
    x = 854.15

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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.