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Finding the Fourth Proportional to 1,287.42, 1,775.97 and 763.62

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Solution

The fourth proportional to 1,287.42, 1,775.97 and 763.62 is: 1,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.42 : 1,775.97 = 763.62 : x
  2. Step 2: Convert to fraction form
    1,287.42/1,775.97 = 763.62/x
  3. Step 3: Cross multiply
    1,287.42x = 1,775.97 × 763.62
  4. Step 4: Simplify right side
    1,287.42x = 1,356,166.21
  5. Step 5: Solve for x
    x = 1,356,166.21/1,287.42
  6. Step 6: Final answer
    x = 1,053.40

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1.5x scale

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.