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Finding the Fourth Proportional to 713.52, 984.64 and 437.52

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Solution

The fourth proportional to 713.52, 984.64 and 437.52 is: 603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 984.64 = 437.52 : x
  2. Step 2: Convert to fraction form
    713.52/984.64 = 437.52/x
  3. Step 3: Cross multiply
    713.52x = 984.64 × 437.52
  4. Step 4: Simplify right side
    713.52x = 430,799.69
  5. Step 5: Solve for x
    x = 430,799.69/713.52
  6. Step 6: Final answer
    x = 603.77

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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.