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Finding the Fourth Proportional to 1,457.12, 2,186.26 and 532.74

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Solution

The fourth proportional to 1,457.12, 2,186.26 and 532.74 is: 799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.12 : 2,186.26 = 532.74 : x
  2. Step 2: Convert to fraction form
    1,457.12/2,186.26 = 532.74/x
  3. Step 3: Cross multiply
    1,457.12x = 2,186.26 × 532.74
  4. Step 4: Simplify right side
    1,457.12x = 1,164,705.49
  5. Step 5: Solve for x
    x = 1,164,705.49/1,457.12
  6. Step 6: Final answer
    x = 799.32

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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.