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Finding the Fourth Proportional to 1,350.53, 2,026.39 and 473.66

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Solution

The fourth proportional to 1,350.53, 2,026.39 and 473.66 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.53 : 2,026.39 = 473.66 : x
  2. Step 2: Convert to fraction form
    1,350.53/2,026.39 = 473.66/x
  3. Step 3: Cross multiply
    1,350.53x = 2,026.39 × 473.66
  4. Step 4: Simplify right side
    1,350.53x = 959,823.77
  5. Step 5: Solve for x
    x = 959,823.77/1,350.53
  6. Step 6: Final answer
    x = 710.70

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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.