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Finding the Fourth Proportional to 1,652.10, 2,478.32 and 556.58

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Solution

The fourth proportional to 1,652.10, 2,478.32 and 556.58 is: 834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.10 : 2,478.32 = 556.58 : x
  2. Step 2: Convert to fraction form
    1,652.10/2,478.32 = 556.58/x
  3. Step 3: Cross multiply
    1,652.10x = 2,478.32 × 556.58
  4. Step 4: Simplify right side
    1,652.10x = 1,379,383.35
  5. Step 5: Solve for x
    x = 1,379,383.35/1,652.10
  6. Step 6: Final answer
    x = 834.93

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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.