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Finding the Fourth Proportional to 1,134.36, 1,700.74 and 440.45

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Solution

The fourth proportional to 1,134.36, 1,700.74 and 440.45 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.36 : 1,700.74 = 440.45 : x
  2. Step 2: Convert to fraction form
    1,134.36/1,700.74 = 440.45/x
  3. Step 3: Cross multiply
    1,134.36x = 1,700.74 × 440.45
  4. Step 4: Simplify right side
    1,134.36x = 749,090.93
  5. Step 5: Solve for x
    x = 749,090.93/1,134.36
  6. Step 6: Final answer
    x = 660.36

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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.