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Finding the Fourth Proportional to 713.65, 985.47 and 690.41

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Solution

The fourth proportional to 713.65, 985.47 and 690.41 is: 953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 985.47 = 690.41 : x
  2. Step 2: Convert to fraction form
    713.65/985.47 = 690.41/x
  3. Step 3: Cross multiply
    713.65x = 985.47 × 690.41
  4. Step 4: Simplify right side
    713.65x = 680,378.34
  5. Step 5: Solve for x
    x = 680,378.34/713.65
  6. Step 6: Final answer
    x = 953.38

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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.