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Finding the Fourth Proportional to 709.84, 979.92 and 473.93

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Solution

The fourth proportional to 709.84, 979.92 and 473.93 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 979.92 = 473.93 : x
  2. Step 2: Convert to fraction form
    709.84/979.92 = 473.93/x
  3. Step 3: Cross multiply
    709.84x = 979.92 × 473.93
  4. Step 4: Simplify right side
    709.84x = 464,408.59
  5. Step 5: Solve for x
    x = 464,408.59/709.84
  6. Step 6: Final answer
    x = 654.25

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Double scale
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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.