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Finding the Fourth Proportional to 1,282.90, 1,924.49 and 417.01

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Solution

The fourth proportional to 1,282.90, 1,924.49 and 417.01 is: 625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.90 : 1,924.49 = 417.01 : x
  2. Step 2: Convert to fraction form
    1,282.90/1,924.49 = 417.01/x
  3. Step 3: Cross multiply
    1,282.90x = 1,924.49 × 417.01
  4. Step 4: Simplify right side
    1,282.90x = 802,529.49
  5. Step 5: Solve for x
    x = 802,529.49/1,282.90
  6. Step 6: Final answer
    x = 625.56

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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.