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Finding the Fourth Proportional to 1,308.46, 1,962.67 and 760.35

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Solution

The fourth proportional to 1,308.46, 1,962.67 and 760.35 is: 1,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.46 : 1,962.67 = 760.35 : x
  2. Step 2: Convert to fraction form
    1,308.46/1,962.67 = 760.35/x
  3. Step 3: Cross multiply
    1,308.46x = 1,962.67 × 760.35
  4. Step 4: Simplify right side
    1,308.46x = 1,492,316.13
  5. Step 5: Solve for x
    x = 1,492,316.13/1,308.46
  6. Step 6: Final answer
    x = 1,140.51

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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.