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Finding the Fourth Proportional to 1,652.06, 2,477.57 and 556.17

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Solution

The fourth proportional to 1,652.06, 2,477.57 and 556.17 is: 834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.06 : 2,477.57 = 556.17 : x
  2. Step 2: Convert to fraction form
    1,652.06/2,477.57 = 556.17/x
  3. Step 3: Cross multiply
    1,652.06x = 2,477.57 × 556.17
  4. Step 4: Simplify right side
    1,652.06x = 1,377,951.50
  5. Step 5: Solve for x
    x = 1,377,951.50/1,652.06
  6. Step 6: Final answer
    x = 834.08

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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.