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Finding the Fourth Proportional to 774.48, 1,069.08 and 494.76

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Solution

The fourth proportional to 774.48, 1,069.08 and 494.76 is: 682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.48 : 1,069.08 = 494.76 : x
  2. Step 2: Convert to fraction form
    774.48/1,069.08 = 494.76/x
  3. Step 3: Cross multiply
    774.48x = 1,069.08 × 494.76
  4. Step 4: Simplify right side
    774.48x = 528,938.02
  5. Step 5: Solve for x
    x = 528,938.02/774.48
  6. Step 6: Final answer
    x = 682.96

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Double 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.