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Finding the Fourth Proportional to 690.76, 952.54 and 494.56

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Solution

The fourth proportional to 690.76, 952.54 and 494.56 is: 681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 952.54 = 494.56 : x
  2. Step 2: Convert to fraction form
    690.76/952.54 = 494.56/x
  3. Step 3: Cross multiply
    690.76x = 952.54 × 494.56
  4. Step 4: Simplify right side
    690.76x = 471,088.18
  5. Step 5: Solve for x
    x = 471,088.18/690.76
  6. Step 6: Final answer
    x = 681.99

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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.