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Finding the Fourth Proportional to 761.77, 1,050.82 and 466.93

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Solution

The fourth proportional to 761.77, 1,050.82 and 466.93 is: 644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.77 : 1,050.82 = 466.93 : x
  2. Step 2: Convert to fraction form
    761.77/1,050.82 = 466.93/x
  3. Step 3: Cross multiply
    761.77x = 1,050.82 × 466.93
  4. Step 4: Simplify right side
    761.77x = 490,659.38
  5. Step 5: Solve for x
    x = 490,659.38/761.77
  6. Step 6: Final answer
    x = 644.10

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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.