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Finding the Fourth Proportional to 684.48, 1,025.76 and 456

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Solution

The fourth proportional to 684.48, 1,025.76 and 456 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 1,025.76 = 456 : x
  2. Step 2: Convert to fraction form
    684.48/1,025.76 = 456/x
  3. Step 3: Cross multiply
    684.48x = 1,025.76 × 456
  4. Step 4: Simplify right side
    684.48x = 467,746.56
  5. Step 5: Solve for x
    x = 467,746.56/684.48
  6. Step 6: Final answer
    x = 683.36

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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.