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Finding the Fourth Proportional to 935.40, 1,402.03 and 703.56

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Solution

The fourth proportional to 935.40, 1,402.03 and 703.56 is: 1,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.40 : 1,402.03 = 703.56 : x
  2. Step 2: Convert to fraction form
    935.40/1,402.03 = 703.56/x
  3. Step 3: Cross multiply
    935.40x = 1,402.03 × 703.56
  4. Step 4: Simplify right side
    935.40x = 986,416.40
  5. Step 5: Solve for x
    x = 986,416.40/935.40
  6. Step 6: Final answer
    x = 1,054.54

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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.