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Finding the Fourth Proportional to 1,153.58, 1,730.84 and 606.24

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Solution

The fourth proportional to 1,153.58, 1,730.84 and 606.24 is: 909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.58 : 1,730.84 = 606.24 : x
  2. Step 2: Convert to fraction form
    1,153.58/1,730.84 = 606.24/x
  3. Step 3: Cross multiply
    1,153.58x = 1,730.84 × 606.24
  4. Step 4: Simplify right side
    1,153.58x = 1,049,301.41
  5. Step 5: Solve for x
    x = 1,049,301.41/1,153.58
  6. Step 6: Final answer
    x = 909.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.