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Finding the Fourth Proportional to 1,077.37, 1,617.05 and 557.74

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Solution

The fourth proportional to 1,077.37, 1,617.05 and 557.74 is: 837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.37 : 1,617.05 = 557.74 : x
  2. Step 2: Convert to fraction form
    1,077.37/1,617.05 = 557.74/x
  3. Step 3: Cross multiply
    1,077.37x = 1,617.05 × 557.74
  4. Step 4: Simplify right side
    1,077.37x = 901,884.65
  5. Step 5: Solve for x
    x = 901,884.65/1,077.37
  6. Step 6: Final answer
    x = 837.12

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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.