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Finding the Fourth Proportional to 709.16, 1,060.09 and 524.84

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Solution

The fourth proportional to 709.16, 1,060.09 and 524.84 is: 784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.16 : 1,060.09 = 524.84 : x
  2. Step 2: Convert to fraction form
    709.16/1,060.09 = 524.84/x
  3. Step 3: Cross multiply
    709.16x = 1,060.09 × 524.84
  4. Step 4: Simplify right side
    709.16x = 556,377.64
  5. Step 5: Solve for x
    x = 556,377.64/709.16
  6. Step 6: Final answer
    x = 784.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.