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Finding the Fourth Proportional to 935.78, 1,402.74 and 416.06

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Solution

The fourth proportional to 935.78, 1,402.74 and 416.06 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.78 : 1,402.74 = 416.06 : x
  2. Step 2: Convert to fraction form
    935.78/1,402.74 = 416.06/x
  3. Step 3: Cross multiply
    935.78x = 1,402.74 × 416.06
  4. Step 4: Simplify right side
    935.78x = 583,624.00
  5. Step 5: Solve for x
    x = 583,624.00/935.78
  6. Step 6: Final answer
    x = 623.68

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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.