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Finding the Fourth Proportional to 1,407.84, 1,942.80 and 786.84

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Solution

The fourth proportional to 1,407.84, 1,942.80 and 786.84 is: 1,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.84 : 1,942.80 = 786.84 : x
  2. Step 2: Convert to fraction form
    1,407.84/1,942.80 = 786.84/x
  3. Step 3: Cross multiply
    1,407.84x = 1,942.80 × 786.84
  4. Step 4: Simplify right side
    1,407.84x = 1,528,672.75
  5. Step 5: Solve for x
    x = 1,528,672.75/1,407.84
  6. Step 6: Final answer
    x = 1,085.83

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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.