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Finding the Fourth Proportional to 1,557.48, 2,336.58 and 461.82

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Solution

The fourth proportional to 1,557.48, 2,336.58 and 461.82 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.48 : 2,336.58 = 461.82 : x
  2. Step 2: Convert to fraction form
    1,557.48/2,336.58 = 461.82/x
  3. Step 3: Cross multiply
    1,557.48x = 2,336.58 × 461.82
  4. Step 4: Simplify right side
    1,557.48x = 1,079,079.38
  5. Step 5: Solve for x
    x = 1,079,079.38/1,557.48
  6. Step 6: Final answer
    x = 692.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.