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Finding the Fourth Proportional to 1,232.45, 1,702.22 and 1,114.39

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Solution

The fourth proportional to 1,232.45, 1,702.22 and 1,114.39 is: 1,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.45 : 1,702.22 = 1,114.39 : x
  2. Step 2: Convert to fraction form
    1,232.45/1,702.22 = 1,114.39/x
  3. Step 3: Cross multiply
    1,232.45x = 1,702.22 × 1,114.39
  4. Step 4: Simplify right side
    1,232.45x = 1,896,933.50
  5. Step 5: Solve for x
    x = 1,896,933.50/1,232.45
  6. Step 6: Final answer
    x = 1,539.16

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1.5x scale

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.