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Finding the Fourth Proportional to 1,307.50, 1,962.06 and 759.94

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Solution

The fourth proportional to 1,307.50, 1,962.06 and 759.94 is: 1,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.50 : 1,962.06 = 759.94 : x
  2. Step 2: Convert to fraction form
    1,307.50/1,962.06 = 759.94/x
  3. Step 3: Cross multiply
    1,307.50x = 1,962.06 × 759.94
  4. Step 4: Simplify right side
    1,307.50x = 1,491,047.88
  5. Step 5: Solve for x
    x = 1,491,047.88/1,307.50
  6. Step 6: Final answer
    x = 1,140.38

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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.