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Finding the Fourth Proportional to 1,111.53, 1,533.93 and 614.18

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Solution

The fourth proportional to 1,111.53, 1,533.93 and 614.18 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.53 : 1,533.93 = 614.18 : x
  2. Step 2: Convert to fraction form
    1,111.53/1,533.93 = 614.18/x
  3. Step 3: Cross multiply
    1,111.53x = 1,533.93 × 614.18
  4. Step 4: Simplify right side
    1,111.53x = 942,101.46
  5. Step 5: Solve for x
    x = 942,101.46/1,111.53
  6. Step 6: Final answer
    x = 847.57

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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.