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Finding the Fourth Proportional to 1,153.66, 1,592.08 and 629.70

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Solution

The fourth proportional to 1,153.66, 1,592.08 and 629.70 is: 869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.66 : 1,592.08 = 629.70 : x
  2. Step 2: Convert to fraction form
    1,153.66/1,592.08 = 629.70/x
  3. Step 3: Cross multiply
    1,153.66x = 1,592.08 × 629.70
  4. Step 4: Simplify right side
    1,153.66x = 1,002,532.78
  5. Step 5: Solve for x
    x = 1,002,532.78/1,153.66
  6. Step 6: Final answer
    x = 869.00

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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.