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Finding the Fourth Proportional to 771.85, 1,064.06 and 476.95

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Solution

The fourth proportional to 771.85, 1,064.06 and 476.95 is: 657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,064.06 = 476.95 : x
  2. Step 2: Convert to fraction form
    771.85/1,064.06 = 476.95/x
  3. Step 3: Cross multiply
    771.85x = 1,064.06 × 476.95
  4. Step 4: Simplify right side
    771.85x = 507,501.03
  5. Step 5: Solve for x
    x = 507,501.03/771.85
  6. Step 6: Final answer
    x = 657.51

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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.