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Finding the Fourth Proportional to 1,152.34, 1,728.58 and 330.74

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Solution

The fourth proportional to 1,152.34, 1,728.58 and 330.74 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,728.58 = 330.74 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,728.58 = 330.74/x
  3. Step 3: Cross multiply
    1,152.34x = 1,728.58 × 330.74
  4. Step 4: Simplify right side
    1,152.34x = 571,710.55
  5. Step 5: Solve for x
    x = 571,710.55/1,152.34
  6. Step 6: Final answer
    x = 496.13

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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.