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Finding the Fourth Proportional to 1,315.26, 1,972.98 and 493.34

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Solution

The fourth proportional to 1,315.26, 1,972.98 and 493.34 is: 740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.26 : 1,972.98 = 493.34 : x
  2. Step 2: Convert to fraction form
    1,315.26/1,972.98 = 493.34/x
  3. Step 3: Cross multiply
    1,315.26x = 1,972.98 × 493.34
  4. Step 4: Simplify right side
    1,315.26x = 973,349.95
  5. Step 5: Solve for x
    x = 973,349.95/1,315.26
  6. Step 6: Final answer
    x = 740.04

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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.