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Finding the Fourth Proportional to 1,557.50, 2,336.29 and 517.58

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Solution

The fourth proportional to 1,557.50, 2,336.29 and 517.58 is: 776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.50 : 2,336.29 = 517.58 : x
  2. Step 2: Convert to fraction form
    1,557.50/2,336.29 = 517.58/x
  3. Step 3: Cross multiply
    1,557.50x = 2,336.29 × 517.58
  4. Step 4: Simplify right side
    1,557.50x = 1,209,216.98
  5. Step 5: Solve for x
    x = 1,209,216.98/1,557.50
  6. Step 6: Final answer
    x = 776.38

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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.