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Finding the Fourth Proportional to 1,153.35, 1,729.44 and 568.40

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Solution

The fourth proportional to 1,153.35, 1,729.44 and 568.40 is: 852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.35 : 1,729.44 = 568.40 : x
  2. Step 2: Convert to fraction form
    1,153.35/1,729.44 = 568.40/x
  3. Step 3: Cross multiply
    1,153.35x = 1,729.44 × 568.40
  4. Step 4: Simplify right side
    1,153.35x = 983,005.05
  5. Step 5: Solve for x
    x = 983,005.05/1,153.35
  6. Step 6: Final answer
    x = 852.30

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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.