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Finding the Fourth Proportional to 1,049.23, 1,447.95 and 607.24

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Solution

The fourth proportional to 1,049.23, 1,447.95 and 607.24 is: 838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.23 : 1,447.95 = 607.24 : x
  2. Step 2: Convert to fraction form
    1,049.23/1,447.95 = 607.24/x
  3. Step 3: Cross multiply
    1,049.23x = 1,447.95 × 607.24
  4. Step 4: Simplify right side
    1,049.23x = 879,253.16
  5. Step 5: Solve for x
    x = 879,253.16/1,049.23
  6. Step 6: Final answer
    x = 838.00

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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.