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Finding the Fourth Proportional to 708.69, 977.65 and 460.09

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Solution

The fourth proportional to 708.69, 977.65 and 460.09 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 977.65 = 460.09 : x
  2. Step 2: Convert to fraction form
    708.69/977.65 = 460.09/x
  3. Step 3: Cross multiply
    708.69x = 977.65 × 460.09
  4. Step 4: Simplify right side
    708.69x = 449,806.99
  5. Step 5: Solve for x
    x = 449,806.99/708.69
  6. Step 6: Final answer
    x = 634.70

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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.