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Finding the Fourth Proportional to 1,683.31, 2,525.24 and 587.99

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Solution

The fourth proportional to 1,683.31, 2,525.24 and 587.99 is: 882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.31 : 2,525.24 = 587.99 : x
  2. Step 2: Convert to fraction form
    1,683.31/2,525.24 = 587.99/x
  3. Step 3: Cross multiply
    1,683.31x = 2,525.24 × 587.99
  4. Step 4: Simplify right side
    1,683.31x = 1,484,812.93
  5. Step 5: Solve for x
    x = 1,484,812.93/1,683.31
  6. Step 6: Final answer
    x = 882.08

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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.