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Finding the Fourth Proportional to 917.86, 1,266.06 and 586.48

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Solution

The fourth proportional to 917.86, 1,266.06 and 586.48 is: 808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.86 : 1,266.06 = 586.48 : x
  2. Step 2: Convert to fraction form
    917.86/1,266.06 = 586.48/x
  3. Step 3: Cross multiply
    917.86x = 1,266.06 × 586.48
  4. Step 4: Simplify right side
    917.86x = 742,518.87
  5. Step 5: Solve for x
    x = 742,518.87/917.86
  6. Step 6: Final answer
    x = 808.97

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Why These Related Problems?

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