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Finding the Fourth Proportional to 1,435.77, 2,154.33 and 614.16

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Solution

The fourth proportional to 1,435.77, 2,154.33 and 614.16 is: 921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.77 : 2,154.33 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,435.77/2,154.33 = 614.16/x
  3. Step 3: Cross multiply
    1,435.77x = 2,154.33 × 614.16
  4. Step 4: Simplify right side
    1,435.77x = 1,323,103.31
  5. Step 5: Solve for x
    x = 1,323,103.31/1,435.77
  6. Step 6: Final answer
    x = 921.53

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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.