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Finding the Fourth Proportional to 1,310.21, 1,962.07 and 760.72

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Solution

The fourth proportional to 1,310.21, 1,962.07 and 760.72 is: 1,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.21 : 1,962.07 = 760.72 : x
  2. Step 2: Convert to fraction form
    1,310.21/1,962.07 = 760.72/x
  3. Step 3: Cross multiply
    1,310.21x = 1,962.07 × 760.72
  4. Step 4: Simplify right side
    1,310.21x = 1,492,582.09
  5. Step 5: Solve for x
    x = 1,492,582.09/1,310.21
  6. Step 6: Final answer
    x = 1,139.20

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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.