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Finding the Fourth Proportional to 1,153.04, 1,591.52 and 733.19

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Solution

The fourth proportional to 1,153.04, 1,591.52 and 733.19 is: 1,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.04 : 1,591.52 = 733.19 : x
  2. Step 2: Convert to fraction form
    1,153.04/1,591.52 = 733.19/x
  3. Step 3: Cross multiply
    1,153.04x = 1,591.52 × 733.19
  4. Step 4: Simplify right side
    1,153.04x = 1,166,874.93
  5. Step 5: Solve for x
    x = 1,166,874.93/1,153.04
  6. Step 6: Final answer
    x = 1,012.00

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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.