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Finding the Fourth Proportional to 1,282.77, 1,923.62 and 872.01

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Solution

The fourth proportional to 1,282.77, 1,923.62 and 872.01 is: 1,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.77 : 1,923.62 = 872.01 : x
  2. Step 2: Convert to fraction form
    1,282.77/1,923.62 = 872.01/x
  3. Step 3: Cross multiply
    1,282.77x = 1,923.62 × 872.01
  4. Step 4: Simplify right side
    1,282.77x = 1,677,411.52
  5. Step 5: Solve for x
    x = 1,677,411.52/1,282.77
  6. Step 6: Final answer
    x = 1,307.65

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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.