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Finding the Fourth Proportional to 713.88, 984.80 and 465.35

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Solution

The fourth proportional to 713.88, 984.80 and 465.35 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 984.80 = 465.35 : x
  2. Step 2: Convert to fraction form
    713.88/984.80 = 465.35/x
  3. Step 3: Cross multiply
    713.88x = 984.80 × 465.35
  4. Step 4: Simplify right side
    713.88x = 458,271.76
  5. Step 5: Solve for x
    x = 458,271.76/713.88
  6. Step 6: Final answer
    x = 641.95

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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.