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Finding the Fourth Proportional to 1,277.82, 1,916.50 and 353.23

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Solution

The fourth proportional to 1,277.82, 1,916.50 and 353.23 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.82 : 1,916.50 = 353.23 : x
  2. Step 2: Convert to fraction form
    1,277.82/1,916.50 = 353.23/x
  3. Step 3: Cross multiply
    1,277.82x = 1,916.50 × 353.23
  4. Step 4: Simplify right side
    1,277.82x = 676,953.95
  5. Step 5: Solve for x
    x = 676,953.95/1,277.82
  6. Step 6: Final answer
    x = 529.77

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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.