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Finding the Fourth Proportional to 1,282.66, 1,923.93 and 417.04

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Solution

The fourth proportional to 1,282.66, 1,923.93 and 417.04 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.66 : 1,923.93 = 417.04 : x
  2. Step 2: Convert to fraction form
    1,282.66/1,923.93 = 417.04/x
  3. Step 3: Cross multiply
    1,282.66x = 1,923.93 × 417.04
  4. Step 4: Simplify right side
    1,282.66x = 802,355.77
  5. Step 5: Solve for x
    x = 802,355.77/1,282.66
  6. Step 6: Final answer
    x = 625.54

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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.