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Finding the Fourth Proportional to 716.40, 988.20 and 506.25

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Solution

The fourth proportional to 716.40, 988.20 and 506.25 is: 698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.40 : 988.20 = 506.25 : x
  2. Step 2: Convert to fraction form
    716.40/988.20 = 506.25/x
  3. Step 3: Cross multiply
    716.40x = 988.20 × 506.25
  4. Step 4: Simplify right side
    716.40x = 500,276.25
  5. Step 5: Solve for x
    x = 500,276.25/716.40
  6. Step 6: Final answer
    x = 698.32

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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.