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Finding the Fourth Proportional to 1,315.72, 1,973.52 and 493.93

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Solution

The fourth proportional to 1,315.72, 1,973.52 and 493.93 is: 740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.72 : 1,973.52 = 493.93 : x
  2. Step 2: Convert to fraction form
    1,315.72/1,973.52 = 493.93/x
  3. Step 3: Cross multiply
    1,315.72x = 1,973.52 × 493.93
  4. Step 4: Simplify right side
    1,315.72x = 974,780.73
  5. Step 5: Solve for x
    x = 974,780.73/1,315.72
  6. Step 6: Final answer
    x = 740.87

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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.