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Finding the Fourth Proportional to 1,315.41, 1,973.72 and 493.57

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Solution

The fourth proportional to 1,315.41, 1,973.72 and 493.57 is: 740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.41 : 1,973.72 = 493.57 : x
  2. Step 2: Convert to fraction form
    1,315.41/1,973.72 = 493.57/x
  3. Step 3: Cross multiply
    1,315.41x = 1,973.72 × 493.57
  4. Step 4: Simplify right side
    1,315.41x = 974,168.98
  5. Step 5: Solve for x
    x = 974,168.98/1,315.41
  6. Step 6: Final answer
    x = 740.58

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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.