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Finding the Fourth Proportional to 1,153.57, 1,730.35 and 921.37

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Solution

The fourth proportional to 1,153.57, 1,730.35 and 921.37 is: 1,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.57 : 1,730.35 = 921.37 : x
  2. Step 2: Convert to fraction form
    1,153.57/1,730.35 = 921.37/x
  3. Step 3: Cross multiply
    1,153.57x = 1,730.35 × 921.37
  4. Step 4: Simplify right side
    1,153.57x = 1,594,279.32
  5. Step 5: Solve for x
    x = 1,594,279.32/1,153.57
  6. Step 6: Final answer
    x = 1,382.05

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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.