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Finding the Fourth Proportional to 713.84, 984.77 and 465.08

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Solution

The fourth proportional to 713.84, 984.77 and 465.08 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 984.77 = 465.08 : x
  2. Step 2: Convert to fraction form
    713.84/984.77 = 465.08/x
  3. Step 3: Cross multiply
    713.84x = 984.77 × 465.08
  4. Step 4: Simplify right side
    713.84x = 457,989.58
  5. Step 5: Solve for x
    x = 457,989.58/713.84
  6. Step 6: Final answer
    x = 641.58

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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.