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Finding the Fourth Proportional to 771.66, 1,065.09 and 476.76

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Solution

The fourth proportional to 771.66, 1,065.09 and 476.76 is: 658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,065.09 = 476.76 : x
  2. Step 2: Convert to fraction form
    771.66/1,065.09 = 476.76/x
  3. Step 3: Cross multiply
    771.66x = 1,065.09 × 476.76
  4. Step 4: Simplify right side
    771.66x = 507,792.31
  5. Step 5: Solve for x
    x = 507,792.31/771.66
  6. Step 6: Final answer
    x = 658.05

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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.