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Finding the Fourth Proportional to 1,284.14, 1,770.47 and 863.59

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Solution

The fourth proportional to 1,284.14, 1,770.47 and 863.59 is: 1,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.14 : 1,770.47 = 863.59 : x
  2. Step 2: Convert to fraction form
    1,284.14/1,770.47 = 863.59/x
  3. Step 3: Cross multiply
    1,284.14x = 1,770.47 × 863.59
  4. Step 4: Simplify right side
    1,284.14x = 1,528,966.77
  5. Step 5: Solve for x
    x = 1,528,966.77/1,284.14
  6. Step 6: Final answer
    x = 1,190.66

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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.