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Finding the Fourth Proportional to 935.61, 1,404.02 and 473.77

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Solution

The fourth proportional to 935.61, 1,404.02 and 473.77 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.61 : 1,404.02 = 473.77 : x
  2. Step 2: Convert to fraction form
    935.61/1,404.02 = 473.77/x
  3. Step 3: Cross multiply
    935.61x = 1,404.02 × 473.77
  4. Step 4: Simplify right side
    935.61x = 665,182.56
  5. Step 5: Solve for x
    x = 665,182.56/935.61
  6. Step 6: Final answer
    x = 710.96

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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.