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Finding the Fourth Proportional to 1,314.83, 1,973.46 and 666.02

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Solution

The fourth proportional to 1,314.83, 1,973.46 and 666.02 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.83 : 1,973.46 = 666.02 : x
  2. Step 2: Convert to fraction form
    1,314.83/1,973.46 = 666.02/x
  3. Step 3: Cross multiply
    1,314.83x = 1,973.46 × 666.02
  4. Step 4: Simplify right side
    1,314.83x = 1,314,371.26
  5. Step 5: Solve for x
    x = 1,314,371.26/1,314.83
  6. Step 6: Final answer
    x = 999.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.