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Finding the Fourth Proportional to 1,137.34, 1,569.52 and 640.07

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Solution

The fourth proportional to 1,137.34, 1,569.52 and 640.07 is: 883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.34 : 1,569.52 = 640.07 : x
  2. Step 2: Convert to fraction form
    1,137.34/1,569.52 = 640.07/x
  3. Step 3: Cross multiply
    1,137.34x = 1,569.52 × 640.07
  4. Step 4: Simplify right side
    1,137.34x = 1,004,602.67
  5. Step 5: Solve for x
    x = 1,004,602.67/1,137.34
  6. Step 6: Final answer
    x = 883.29

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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.