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Finding the Fourth Proportional to 1,347.92, 1,859.70 and 823.58

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Solution

The fourth proportional to 1,347.92, 1,859.70 and 823.58 is: 1,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.92 : 1,859.70 = 823.58 : x
  2. Step 2: Convert to fraction form
    1,347.92/1,859.70 = 823.58/x
  3. Step 3: Cross multiply
    1,347.92x = 1,859.70 × 823.58
  4. Step 4: Simplify right side
    1,347.92x = 1,531,611.73
  5. Step 5: Solve for x
    x = 1,531,611.73/1,347.92
  6. Step 6: Final answer
    x = 1,136.28

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1.5x scale

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.