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Finding the Fourth Proportional to 1,154.09, 1,592.06 and 711.70

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Solution

The fourth proportional to 1,154.09, 1,592.06 and 711.70 is: 981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.09 : 1,592.06 = 711.70 : x
  2. Step 2: Convert to fraction form
    1,154.09/1,592.06 = 711.70/x
  3. Step 3: Cross multiply
    1,154.09x = 1,592.06 × 711.70
  4. Step 4: Simplify right side
    1,154.09x = 1,133,061.56
  5. Step 5: Solve for x
    x = 1,133,061.56/1,154.09
  6. Step 6: Final answer
    x = 981.78

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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.