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Finding the Fourth Proportional to 1,125.76, 1,684.53 and 685.41

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Solution

The fourth proportional to 1,125.76, 1,684.53 and 685.41 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.76 : 1,684.53 = 685.41 : x
  2. Step 2: Convert to fraction form
    1,125.76/1,684.53 = 685.41/x
  3. Step 3: Cross multiply
    1,125.76x = 1,684.53 × 685.41
  4. Step 4: Simplify right side
    1,125.76x = 1,154,581.86
  5. Step 5: Solve for x
    x = 1,154,581.86/1,125.76
  6. Step 6: Final answer
    x = 1,025.60

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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.