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Finding the Fourth Proportional to 1,462.07, 2,017.64 and 798.93

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Solution

The fourth proportional to 1,462.07, 2,017.64 and 798.93 is: 1,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.07 : 2,017.64 = 798.93 : x
  2. Step 2: Convert to fraction form
    1,462.07/2,017.64 = 798.93/x
  3. Step 3: Cross multiply
    1,462.07x = 2,017.64 × 798.93
  4. Step 4: Simplify right side
    1,462.07x = 1,611,955.12
  5. Step 5: Solve for x
    x = 1,611,955.12/1,462.07
  6. Step 6: Final answer
    x = 1,102.51

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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.