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Finding the Fourth Proportional to 918.03, 1,266.30 and 586.34

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Solution

The fourth proportional to 918.03, 1,266.30 and 586.34 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.03 : 1,266.30 = 586.34 : x
  2. Step 2: Convert to fraction form
    918.03/1,266.30 = 586.34/x
  3. Step 3: Cross multiply
    918.03x = 1,266.30 × 586.34
  4. Step 4: Simplify right side
    918.03x = 742,476.01
  5. Step 5: Solve for x
    x = 742,476.01/918.03
  6. Step 6: Final answer
    x = 808.77

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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.