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Finding the Fourth Proportional to 1,334.90, 1,842.14 and 775.50

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Solution

The fourth proportional to 1,334.90, 1,842.14 and 775.50 is: 1,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.90 : 1,842.14 = 775.50 : x
  2. Step 2: Convert to fraction form
    1,334.90/1,842.14 = 775.50/x
  3. Step 3: Cross multiply
    1,334.90x = 1,842.14 × 775.50
  4. Step 4: Simplify right side
    1,334.90x = 1,428,579.57
  5. Step 5: Solve for x
    x = 1,428,579.57/1,334.90
  6. Step 6: Final answer
    x = 1,070.18

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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.