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Finding the Fourth Proportional to 1,315.51, 1,973.30 and 437.73

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Solution

The fourth proportional to 1,315.51, 1,973.30 and 437.73 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.51 : 1,973.30 = 437.73 : x
  2. Step 2: Convert to fraction form
    1,315.51/1,973.30 = 437.73/x
  3. Step 3: Cross multiply
    1,315.51x = 1,973.30 × 437.73
  4. Step 4: Simplify right side
    1,315.51x = 863,772.61
  5. Step 5: Solve for x
    x = 863,772.61/1,315.51
  6. Step 6: Final answer
    x = 656.61

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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.