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Finding the Fourth Proportional to 1,457.26, 2,186.04 and 532.90

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Solution

The fourth proportional to 1,457.26, 2,186.04 and 532.90 is: 799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.26 : 2,186.04 = 532.90 : x
  2. Step 2: Convert to fraction form
    1,457.26/2,186.04 = 532.90/x
  3. Step 3: Cross multiply
    1,457.26x = 2,186.04 × 532.90
  4. Step 4: Simplify right side
    1,457.26x = 1,164,930.15
  5. Step 5: Solve for x
    x = 1,164,930.15/1,457.26
  6. Step 6: Final answer
    x = 799.40

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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.