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Finding the Fourth Proportional to 710.42, 1,065.64 and 197.42

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Solution

The fourth proportional to 710.42, 1,065.64 and 197.42 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.42 : 1,065.64 = 197.42 : x
  2. Step 2: Convert to fraction form
    710.42/1,065.64 = 197.42/x
  3. Step 3: Cross multiply
    710.42x = 1,065.64 × 197.42
  4. Step 4: Simplify right side
    710.42x = 210,378.65
  5. Step 5: Solve for x
    x = 210,378.65/710.42
  6. Step 6: Final answer
    x = 296.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.