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Finding the Fourth Proportional to 784.30, 1,079.86 and 666.03

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Solution

The fourth proportional to 784.30, 1,079.86 and 666.03 is: 917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.30 : 1,079.86 = 666.03 : x
  2. Step 2: Convert to fraction form
    784.30/1,079.86 = 666.03/x
  3. Step 3: Cross multiply
    784.30x = 1,079.86 × 666.03
  4. Step 4: Simplify right side
    784.30x = 719,219.16
  5. Step 5: Solve for x
    x = 719,219.16/784.30
  6. Step 6: Final answer
    x = 917.02

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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.