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Finding the Fourth Proportional to 1,317.06, 1,975.04 and 494.76

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Solution

The fourth proportional to 1,317.06, 1,975.04 and 494.76 is: 741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.06 : 1,975.04 = 494.76 : x
  2. Step 2: Convert to fraction form
    1,317.06/1,975.04 = 494.76/x
  3. Step 3: Cross multiply
    1,317.06x = 1,975.04 × 494.76
  4. Step 4: Simplify right side
    1,317.06x = 977,170.79
  5. Step 5: Solve for x
    x = 977,170.79/1,317.06
  6. Step 6: Final answer
    x = 741.93

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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.