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Finding the Fourth Proportional to 935.94, 1,404.46 and 503.14

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Solution

The fourth proportional to 935.94, 1,404.46 and 503.14 is: 755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.94 : 1,404.46 = 503.14 : x
  2. Step 2: Convert to fraction form
    935.94/1,404.46 = 503.14/x
  3. Step 3: Cross multiply
    935.94x = 1,404.46 × 503.14
  4. Step 4: Simplify right side
    935.94x = 706,640.00
  5. Step 5: Solve for x
    x = 706,640.00/935.94
  6. Step 6: Final answer
    x = 755.01

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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.