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Finding the Fourth Proportional to 1,284.70, 1,927.95 and 823.60

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Solution

The fourth proportional to 1,284.70, 1,927.95 and 823.60 is: 1,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.70 : 1,927.95 = 823.60 : x
  2. Step 2: Convert to fraction form
    1,284.70/1,927.95 = 823.60/x
  3. Step 3: Cross multiply
    1,284.70x = 1,927.95 × 823.60
  4. Step 4: Simplify right side
    1,284.70x = 1,587,859.62
  5. Step 5: Solve for x
    x = 1,587,859.62/1,284.70
  6. Step 6: Final answer
    x = 1,235.98

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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.