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Finding the Fourth Proportional to 710.63, 1,066.01 and 248.53

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Solution

The fourth proportional to 710.63, 1,066.01 and 248.53 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.63 : 1,066.01 = 248.53 : x
  2. Step 2: Convert to fraction form
    710.63/1,066.01 = 248.53/x
  3. Step 3: Cross multiply
    710.63x = 1,066.01 × 248.53
  4. Step 4: Simplify right side
    710.63x = 264,930.76
  5. Step 5: Solve for x
    x = 264,930.76/710.63
  6. Step 6: Final answer
    x = 372.81

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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.