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Finding the Fourth Proportional to 1,153.78, 1,592.12 and 656.30

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Solution

The fourth proportional to 1,153.78, 1,592.12 and 656.30 is: 905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.78 : 1,592.12 = 656.30 : x
  2. Step 2: Convert to fraction form
    1,153.78/1,592.12 = 656.30/x
  3. Step 3: Cross multiply
    1,153.78x = 1,592.12 × 656.30
  4. Step 4: Simplify right side
    1,153.78x = 1,044,908.36
  5. Step 5: Solve for x
    x = 1,044,908.36/1,153.78
  6. Step 6: Final answer
    x = 905.64

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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.