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Finding the Fourth Proportional to 1,262.25, 1,742.07 and 765.08

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Solution

The fourth proportional to 1,262.25, 1,742.07 and 765.08 is: 1,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 1,742.07 = 765.08 : x
  2. Step 2: Convert to fraction form
    1,262.25/1,742.07 = 765.08/x
  3. Step 3: Cross multiply
    1,262.25x = 1,742.07 × 765.08
  4. Step 4: Simplify right side
    1,262.25x = 1,332,814.21
  5. Step 5: Solve for x
    x = 1,332,814.21/1,262.25
  6. Step 6: Final answer
    x = 1,055.90

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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.