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Finding the Fourth Proportional to 1,153.37, 1,591.88 and 705.44

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Solution

The fourth proportional to 1,153.37, 1,591.88 and 705.44 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.37 : 1,591.88 = 705.44 : x
  2. Step 2: Convert to fraction form
    1,153.37/1,591.88 = 705.44/x
  3. Step 3: Cross multiply
    1,153.37x = 1,591.88 × 705.44
  4. Step 4: Simplify right side
    1,153.37x = 1,122,964.34
  5. Step 5: Solve for x
    x = 1,122,964.34/1,153.37
  6. Step 6: Final answer
    x = 973.64

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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.