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Finding the Fourth Proportional to 1,153.64, 1,730.24 and 309.35

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Solution

The fourth proportional to 1,153.64, 1,730.24 and 309.35 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.64 : 1,730.24 = 309.35 : x
  2. Step 2: Convert to fraction form
    1,153.64/1,730.24 = 309.35/x
  3. Step 3: Cross multiply
    1,153.64x = 1,730.24 × 309.35
  4. Step 4: Simplify right side
    1,153.64x = 535,248.06
  5. Step 5: Solve for x
    x = 535,248.06/1,153.64
  6. Step 6: Final answer
    x = 463.97

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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.