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Finding the Fourth Proportional to 1,282.95, 1,923.93 and 460.98

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Solution

The fourth proportional to 1,282.95, 1,923.93 and 460.98 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,923.93 = 460.98 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,923.93 = 460.98/x
  3. Step 3: Cross multiply
    1,282.95x = 1,923.93 × 460.98
  4. Step 4: Simplify right side
    1,282.95x = 886,893.25
  5. Step 5: Solve for x
    x = 886,893.25/1,282.95
  6. Step 6: Final answer
    x = 691.29

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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.