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Finding the Fourth Proportional to 1,055.37, 1,456.49 and 607.38

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Solution

The fourth proportional to 1,055.37, 1,456.49 and 607.38 is: 838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.37 : 1,456.49 = 607.38 : x
  2. Step 2: Convert to fraction form
    1,055.37/1,456.49 = 607.38/x
  3. Step 3: Cross multiply
    1,055.37x = 1,456.49 × 607.38
  4. Step 4: Simplify right side
    1,055.37x = 884,644.41
  5. Step 5: Solve for x
    x = 884,644.41/1,055.37
  6. Step 6: Final answer
    x = 838.23

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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.