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Finding the Fourth Proportional to 1,557.94, 2,336.61 and 518.02

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Solution

The fourth proportional to 1,557.94, 2,336.61 and 518.02 is: 776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.94 : 2,336.61 = 518.02 : x
  2. Step 2: Convert to fraction form
    1,557.94/2,336.61 = 518.02/x
  3. Step 3: Cross multiply
    1,557.94x = 2,336.61 × 518.02
  4. Step 4: Simplify right side
    1,557.94x = 1,210,410.71
  5. Step 5: Solve for x
    x = 1,210,410.71/1,557.94
  6. Step 6: Final answer
    x = 776.93

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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.