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Finding the Fourth Proportional to 1,262.76, 1,742.64 and 765.36

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Solution

The fourth proportional to 1,262.76, 1,742.64 and 765.36 is: 1,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.76 : 1,742.64 = 765.36 : x
  2. Step 2: Convert to fraction form
    1,262.76/1,742.64 = 765.36/x
  3. Step 3: Cross multiply
    1,262.76x = 1,742.64 × 765.36
  4. Step 4: Simplify right side
    1,262.76x = 1,333,746.95
  5. Step 5: Solve for x
    x = 1,333,746.95/1,262.76
  6. Step 6: Final answer
    x = 1,056.22

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Half scale
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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.