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Finding the Fourth Proportional to 1,137.78, 1,703.91 and 649.35

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Solution

The fourth proportional to 1,137.78, 1,703.91 and 649.35 is: 972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.78 : 1,703.91 = 649.35 : x
  2. Step 2: Convert to fraction form
    1,137.78/1,703.91 = 649.35/x
  3. Step 3: Cross multiply
    1,137.78x = 1,703.91 × 649.35
  4. Step 4: Simplify right side
    1,137.78x = 1,106,433.96
  5. Step 5: Solve for x
    x = 1,106,433.96/1,137.78
  6. Step 6: Final answer
    x = 972.45

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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.