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Finding the Fourth Proportional to 1,557.99, 2,336.72 and 403.74

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Solution

The fourth proportional to 1,557.99, 2,336.72 and 403.74 is: 605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.99 : 2,336.72 = 403.74 : x
  2. Step 2: Convert to fraction form
    1,557.99/2,336.72 = 403.74/x
  3. Step 3: Cross multiply
    1,557.99x = 2,336.72 × 403.74
  4. Step 4: Simplify right side
    1,557.99x = 943,425.31
  5. Step 5: Solve for x
    x = 943,425.31/1,557.99
  6. Step 6: Final answer
    x = 605.54

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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.