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Finding the Fourth Proportional to 1,314.99, 1,972.53 and 493.07

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Solution

The fourth proportional to 1,314.99, 1,972.53 and 493.07 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.99 : 1,972.53 = 493.07 : x
  2. Step 2: Convert to fraction form
    1,314.99/1,972.53 = 493.07/x
  3. Step 3: Cross multiply
    1,314.99x = 1,972.53 × 493.07
  4. Step 4: Simplify right side
    1,314.99x = 972,585.50
  5. Step 5: Solve for x
    x = 972,585.50/1,314.99
  6. Step 6: Final answer
    x = 739.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.