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Finding the Fourth Proportional to 1,242.93, 1,715.24 and 711.91

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Solution

The fourth proportional to 1,242.93, 1,715.24 and 711.91 is: 982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.93 : 1,715.24 = 711.91 : x
  2. Step 2: Convert to fraction form
    1,242.93/1,715.24 = 711.91/x
  3. Step 3: Cross multiply
    1,242.93x = 1,715.24 × 711.91
  4. Step 4: Simplify right side
    1,242.93x = 1,221,096.51
  5. Step 5: Solve for x
    x = 1,221,096.51/1,242.93
  6. Step 6: Final answer
    x = 982.43

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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.