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Finding the Fourth Proportional to 1,263.93, 1,896.17 and 442.23

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Solution

The fourth proportional to 1,263.93, 1,896.17 and 442.23 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.93 : 1,896.17 = 442.23 : x
  2. Step 2: Convert to fraction form
    1,263.93/1,896.17 = 442.23/x
  3. Step 3: Cross multiply
    1,263.93x = 1,896.17 × 442.23
  4. Step 4: Simplify right side
    1,263.93x = 838,541.05
  5. Step 5: Solve for x
    x = 838,541.05/1,263.93
  6. Step 6: Final answer
    x = 663.44

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1.5x scale

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.