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Finding the Fourth Proportional to 1,277.08, 1,915.62 and 844.14

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Solution

The fourth proportional to 1,277.08, 1,915.62 and 844.14 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.08 : 1,915.62 = 844.14 : x
  2. Step 2: Convert to fraction form
    1,277.08/1,915.62 = 844.14/x
  3. Step 3: Cross multiply
    1,277.08x = 1,915.62 × 844.14
  4. Step 4: Simplify right side
    1,277.08x = 1,617,051.47
  5. Step 5: Solve for x
    x = 1,617,051.47/1,277.08
  6. Step 6: Final answer
    x = 1,266.21

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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.