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Finding the Fourth Proportional to 1,142.51, 1,712.75 and 549.18

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Solution

The fourth proportional to 1,142.51, 1,712.75 and 549.18 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.51 : 1,712.75 = 549.18 : x
  2. Step 2: Convert to fraction form
    1,142.51/1,712.75 = 549.18/x
  3. Step 3: Cross multiply
    1,142.51x = 1,712.75 × 549.18
  4. Step 4: Simplify right side
    1,142.51x = 940,605.30
  5. Step 5: Solve for x
    x = 940,605.30/1,142.51
  6. Step 6: Final answer
    x = 823.28

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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.