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Finding the Fourth Proportional to 1,026.84, 1,415.34 and 764.76

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Solution

The fourth proportional to 1,026.84, 1,415.34 and 764.76 is: 1,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.84 : 1,415.34 = 764.76 : x
  2. Step 2: Convert to fraction form
    1,026.84/1,415.34 = 764.76/x
  3. Step 3: Cross multiply
    1,026.84x = 1,415.34 × 764.76
  4. Step 4: Simplify right side
    1,026.84x = 1,082,395.42
  5. Step 5: Solve for x
    x = 1,082,395.42/1,026.84
  6. Step 6: Final answer
    x = 1,054.10

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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.