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Finding the Fourth Proportional to 1,359.51, 2,040.07 and 493.89

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Solution

The fourth proportional to 1,359.51, 2,040.07 and 493.89 is: 741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.51 : 2,040.07 = 493.89 : x
  2. Step 2: Convert to fraction form
    1,359.51/2,040.07 = 493.89/x
  3. Step 3: Cross multiply
    1,359.51x = 2,040.07 × 493.89
  4. Step 4: Simplify right side
    1,359.51x = 1,007,570.17
  5. Step 5: Solve for x
    x = 1,007,570.17/1,359.51
  6. Step 6: Final answer
    x = 741.13

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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.