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Finding the Fourth Proportional to 1,457.09, 2,185.63 and 532.14

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Solution

The fourth proportional to 1,457.09, 2,185.63 and 532.14 is: 798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.09 : 2,185.63 = 532.14 : x
  2. Step 2: Convert to fraction form
    1,457.09/2,185.63 = 532.14/x
  3. Step 3: Cross multiply
    1,457.09x = 2,185.63 × 532.14
  4. Step 4: Simplify right side
    1,457.09x = 1,163,066.14
  5. Step 5: Solve for x
    x = 1,163,066.14/1,457.09
  6. Step 6: Final answer
    x = 798.21

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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.