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Finding the Fourth Proportional to 1,111.63, 1,533.90 and 614.26

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Solution

The fourth proportional to 1,111.63, 1,533.90 and 614.26 is: 847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.63 : 1,533.90 = 614.26 : x
  2. Step 2: Convert to fraction form
    1,111.63/1,533.90 = 614.26/x
  3. Step 3: Cross multiply
    1,111.63x = 1,533.90 × 614.26
  4. Step 4: Simplify right side
    1,111.63x = 942,213.41
  5. Step 5: Solve for x
    x = 942,213.41/1,111.63
  6. Step 6: Final answer
    x = 847.60

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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.