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Finding the Fourth Proportional to 1,557.07, 2,335.98 and 461.41

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Solution

The fourth proportional to 1,557.07, 2,335.98 and 461.41 is: 692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.07 : 2,335.98 = 461.41 : x
  2. Step 2: Convert to fraction form
    1,557.07/2,335.98 = 461.41/x
  3. Step 3: Cross multiply
    1,557.07x = 2,335.98 × 461.41
  4. Step 4: Simplify right side
    1,557.07x = 1,077,844.53
  5. Step 5: Solve for x
    x = 1,077,844.53/1,557.07
  6. Step 6: Final answer
    x = 692.23

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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.