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Finding the Fourth Proportional to 917.72, 1,266.50 and 585.88

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Solution

The fourth proportional to 917.72, 1,266.50 and 585.88 is: 808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.72 : 1,266.50 = 585.88 : x
  2. Step 2: Convert to fraction form
    917.72/1,266.50 = 585.88/x
  3. Step 3: Cross multiply
    917.72x = 1,266.50 × 585.88
  4. Step 4: Simplify right side
    917.72x = 742,017.02
  5. Step 5: Solve for x
    x = 742,017.02/917.72
  6. Step 6: Final answer
    x = 808.54

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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.