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Finding the Fourth Proportional to 1,077.64, 1,616.64 and 557.50

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Solution

The fourth proportional to 1,077.64, 1,616.64 and 557.50 is: 836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.64 : 1,616.64 = 557.50 : x
  2. Step 2: Convert to fraction form
    1,077.64/1,616.64 = 557.50/x
  3. Step 3: Cross multiply
    1,077.64x = 1,616.64 × 557.50
  4. Step 4: Simplify right side
    1,077.64x = 901,268.72
  5. Step 5: Solve for x
    x = 901,268.72/1,077.64
  6. Step 6: Final answer
    x = 836.34

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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.