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Finding the Fourth Proportional to 1,146.84, 1,720.32 and 325.20

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Solution

The fourth proportional to 1,146.84, 1,720.32 and 325.20 is: 487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,720.32 = 325.20 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,720.32 = 325.20/x
  3. Step 3: Cross multiply
    1,146.84x = 1,720.32 × 325.20
  4. Step 4: Simplify right side
    1,146.84x = 559,448.06
  5. Step 5: Solve for x
    x = 559,448.06/1,146.84
  6. Step 6: Final answer
    x = 487.82

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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.