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Finding the Fourth Proportional to 1,124.07, 1,684.54 and 575.09

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Solution

The fourth proportional to 1,124.07, 1,684.54 and 575.09 is: 861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.07 : 1,684.54 = 575.09 : x
  2. Step 2: Convert to fraction form
    1,124.07/1,684.54 = 575.09/x
  3. Step 3: Cross multiply
    1,124.07x = 1,684.54 × 575.09
  4. Step 4: Simplify right side
    1,124.07x = 968,762.11
  5. Step 5: Solve for x
    x = 968,762.11/1,124.07
  6. Step 6: Final answer
    x = 861.83

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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.