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Finding the Fourth Proportional to 918.02, 1,376.91 and 542.99

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Solution

The fourth proportional to 918.02, 1,376.91 and 542.99 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.02 : 1,376.91 = 542.99 : x
  2. Step 2: Convert to fraction form
    918.02/1,376.91 = 542.99/x
  3. Step 3: Cross multiply
    918.02x = 1,376.91 × 542.99
  4. Step 4: Simplify right side
    918.02x = 747,648.36
  5. Step 5: Solve for x
    x = 747,648.36/918.02
  6. Step 6: Final answer
    x = 814.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.