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Finding the Fourth Proportional to 1,320.93, 1,822.16 and 824.00

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Solution

The fourth proportional to 1,320.93, 1,822.16 and 824.00 is: 1,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.93 : 1,822.16 = 824.00 : x
  2. Step 2: Convert to fraction form
    1,320.93/1,822.16 = 824.00/x
  3. Step 3: Cross multiply
    1,320.93x = 1,822.16 × 824.00
  4. Step 4: Simplify right side
    1,320.93x = 1,501,446.61
  5. Step 5: Solve for x
    x = 1,501,446.61/1,320.93
  6. Step 6: Final answer
    x = 1,136.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.