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Finding the Fourth Proportional to 1,134.63, 1,700.41 and 518.01

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Solution

The fourth proportional to 1,134.63, 1,700.41 and 518.01 is: 776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.63 : 1,700.41 = 518.01 : x
  2. Step 2: Convert to fraction form
    1,134.63/1,700.41 = 518.01/x
  3. Step 3: Cross multiply
    1,134.63x = 1,700.41 × 518.01
  4. Step 4: Simplify right side
    1,134.63x = 880,829.38
  5. Step 5: Solve for x
    x = 880,829.38/1,134.63
  6. Step 6: Final answer
    x = 776.32

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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.