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Finding the Fourth Proportional to 1,356, 1,872.84 and 1,064.76

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Solution

The fourth proportional to 1,356, 1,872.84 and 1,064.76 is: 1,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356 : 1,872.84 = 1,064.76 : x
  2. Step 2: Convert to fraction form
    1,356/1,872.84 = 1,064.76/x
  3. Step 3: Cross multiply
    1,356x = 1,872.84 × 1,064.76
  4. Step 4: Simplify right side
    1,356x = 1,994,125.12
  5. Step 5: Solve for x
    x = 1,994,125.12/1,356
  6. Step 6: Final answer
    x = 1,470.59

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.