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Finding the Fourth Proportional to 917.76, 1,266.84 and 586.20

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Solution

The fourth proportional to 917.76, 1,266.84 and 586.20 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.76 : 1,266.84 = 586.20 : x
  2. Step 2: Convert to fraction form
    917.76/1,266.84 = 586.20/x
  3. Step 3: Cross multiply
    917.76x = 1,266.84 × 586.20
  4. Step 4: Simplify right side
    917.76x = 742,621.61
  5. Step 5: Solve for x
    x = 742,621.61/917.76
  6. Step 6: Final answer
    x = 809.17

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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.