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Finding the Fourth Proportional to 1,111.64, 1,534.16 and 614.36

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Solution

The fourth proportional to 1,111.64, 1,534.16 and 614.36 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.64 : 1,534.16 = 614.36 : x
  2. Step 2: Convert to fraction form
    1,111.64/1,534.16 = 614.36/x
  3. Step 3: Cross multiply
    1,111.64x = 1,534.16 × 614.36
  4. Step 4: Simplify right side
    1,111.64x = 942,526.54
  5. Step 5: Solve for x
    x = 942,526.54/1,111.64
  6. Step 6: Final answer
    x = 847.87

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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.