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Finding the Fourth Proportional to 1,119.29, 1,678.73 and 707.13

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Solution

The fourth proportional to 1,119.29, 1,678.73 and 707.13 is: 1,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.29 : 1,678.73 = 707.13 : x
  2. Step 2: Convert to fraction form
    1,119.29/1,678.73 = 707.13/x
  3. Step 3: Cross multiply
    1,119.29x = 1,678.73 × 707.13
  4. Step 4: Simplify right side
    1,119.29x = 1,187,076.81
  5. Step 5: Solve for x
    x = 1,187,076.81/1,119.29
  6. Step 6: Final answer
    x = 1,060.57

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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.