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Finding the Fourth Proportional to 1,137.83, 1,570.21 and 640.64

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Solution

The fourth proportional to 1,137.83, 1,570.21 and 640.64 is: 884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.83 : 1,570.21 = 640.64 : x
  2. Step 2: Convert to fraction form
    1,137.83/1,570.21 = 640.64/x
  3. Step 3: Cross multiply
    1,137.83x = 1,570.21 × 640.64
  4. Step 4: Simplify right side
    1,137.83x = 1,005,941.66
  5. Step 5: Solve for x
    x = 1,005,941.66/1,137.83
  6. Step 6: Final answer
    x = 884.09

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Why These Related Problems?

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