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Finding the Fourth Proportional to 1,153.44, 1,591.75 and 711.58

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Solution

The fourth proportional to 1,153.44, 1,591.75 and 711.58 is: 981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.44 : 1,591.75 = 711.58 : x
  2. Step 2: Convert to fraction form
    1,153.44/1,591.75 = 711.58/x
  3. Step 3: Cross multiply
    1,153.44x = 1,591.75 × 711.58
  4. Step 4: Simplify right side
    1,153.44x = 1,132,657.47
  5. Step 5: Solve for x
    x = 1,132,657.47/1,153.44
  6. Step 6: Final answer
    x = 981.98

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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.