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Finding the Fourth Proportional to 935.42, 1,290.78 and 521.42

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Solution

The fourth proportional to 935.42, 1,290.78 and 521.42 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.42 : 1,290.78 = 521.42 : x
  2. Step 2: Convert to fraction form
    935.42/1,290.78 = 521.42/x
  3. Step 3: Cross multiply
    935.42x = 1,290.78 × 521.42
  4. Step 4: Simplify right side
    935.42x = 673,038.51
  5. Step 5: Solve for x
    x = 673,038.51/935.42
  6. Step 6: Final answer
    x = 719.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.