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Finding the Fourth Proportional to 1,046.54, 1,444.01 and 598.38

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Solution

The fourth proportional to 1,046.54, 1,444.01 and 598.38 is: 825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.54 : 1,444.01 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,046.54/1,444.01 = 598.38/x
  3. Step 3: Cross multiply
    1,046.54x = 1,444.01 × 598.38
  4. Step 4: Simplify right side
    1,046.54x = 864,063.71
  5. Step 5: Solve for x
    x = 864,063.71/1,046.54
  6. Step 6: Final answer
    x = 825.64

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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.