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Finding the Fourth Proportional to 1,153.30, 1,730.01 and 373.24

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Solution

The fourth proportional to 1,153.30, 1,730.01 and 373.24 is: 559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.30 : 1,730.01 = 373.24 : x
  2. Step 2: Convert to fraction form
    1,153.30/1,730.01 = 373.24/x
  3. Step 3: Cross multiply
    1,153.30x = 1,730.01 × 373.24
  4. Step 4: Simplify right side
    1,153.30x = 645,712.22
  5. Step 5: Solve for x
    x = 645,712.22/1,153.30
  6. Step 6: Final answer
    x = 559.88

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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.