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Finding the Fourth Proportional to 1,557.36, 2,335.64 and 461.43

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Solution

The fourth proportional to 1,557.36, 2,335.64 and 461.43 is: 692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.36 : 2,335.64 = 461.43 : x
  2. Step 2: Convert to fraction form
    1,557.36/2,335.64 = 461.43/x
  3. Step 3: Cross multiply
    1,557.36x = 2,335.64 × 461.43
  4. Step 4: Simplify right side
    1,557.36x = 1,077,732.06
  5. Step 5: Solve for x
    x = 1,077,732.06/1,557.36
  6. Step 6: Final answer
    x = 692.03

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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.