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Finding the Fourth Proportional to 1,282.87, 1,924.10 and 358.33

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Solution

The fourth proportional to 1,282.87, 1,924.10 and 358.33 is: 537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.87 : 1,924.10 = 358.33 : x
  2. Step 2: Convert to fraction form
    1,282.87/1,924.10 = 358.33/x
  3. Step 3: Cross multiply
    1,282.87x = 1,924.10 × 358.33
  4. Step 4: Simplify right side
    1,282.87x = 689,462.75
  5. Step 5: Solve for x
    x = 689,462.75/1,282.87
  6. Step 6: Final answer
    x = 537.44

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Double scale
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1.5x scale

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.