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Finding the Fourth Proportional to 1,035.17, 1,552.64 and 341.84

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Solution

The fourth proportional to 1,035.17, 1,552.64 and 341.84 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.17 : 1,552.64 = 341.84 : x
  2. Step 2: Convert to fraction form
    1,035.17/1,552.64 = 341.84/x
  3. Step 3: Cross multiply
    1,035.17x = 1,552.64 × 341.84
  4. Step 4: Simplify right side
    1,035.17x = 530,752.75
  5. Step 5: Solve for x
    x = 530,752.75/1,035.17
  6. Step 6: Final answer
    x = 512.72

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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.