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Finding the Fourth Proportional to 770.48, 1,156.16 and 283.56

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Solution

The fourth proportional to 770.48, 1,156.16 and 283.56 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.48 : 1,156.16 = 283.56 : x
  2. Step 2: Convert to fraction form
    770.48/1,156.16 = 283.56/x
  3. Step 3: Cross multiply
    770.48x = 1,156.16 × 283.56
  4. Step 4: Simplify right side
    770.48x = 327,840.73
  5. Step 5: Solve for x
    x = 327,840.73/770.48
  6. Step 6: Final answer
    x = 425.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.