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Finding the Fourth Proportional to 784.65, 1,080.35 and 666.37

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Solution

The fourth proportional to 784.65, 1,080.35 and 666.37 is: 917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.65 : 1,080.35 = 666.37 : x
  2. Step 2: Convert to fraction form
    784.65/1,080.35 = 666.37/x
  3. Step 3: Cross multiply
    784.65x = 1,080.35 × 666.37
  4. Step 4: Simplify right side
    784.65x = 719,912.83
  5. Step 5: Solve for x
    x = 719,912.83/784.65
  6. Step 6: Final answer
    x = 917.50

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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.