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Finding the Fourth Proportional to 814.77, 1,124.28 and 465.48

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Solution

The fourth proportional to 814.77, 1,124.28 and 465.48 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.77 : 1,124.28 = 465.48 : x
  2. Step 2: Convert to fraction form
    814.77/1,124.28 = 465.48/x
  3. Step 3: Cross multiply
    814.77x = 1,124.28 × 465.48
  4. Step 4: Simplify right side
    814.77x = 523,329.85
  5. Step 5: Solve for x
    x = 523,329.85/814.77
  6. Step 6: Final answer
    x = 642.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.