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Finding the Fourth Proportional to 1,298.07, 1,946.43 and 741.96

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Solution

The fourth proportional to 1,298.07, 1,946.43 and 741.96 is: 1,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.07 : 1,946.43 = 741.96 : x
  2. Step 2: Convert to fraction form
    1,298.07/1,946.43 = 741.96/x
  3. Step 3: Cross multiply
    1,298.07x = 1,946.43 × 741.96
  4. Step 4: Simplify right side
    1,298.07x = 1,444,173.20
  5. Step 5: Solve for x
    x = 1,444,173.20/1,298.07
  6. Step 6: Final answer
    x = 1,112.55

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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.