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Finding the Fourth Proportional to 1,314.97, 1,971.93 and 492.77

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Solution

The fourth proportional to 1,314.97, 1,971.93 and 492.77 is: 738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.97 : 1,971.93 = 492.77 : x
  2. Step 2: Convert to fraction form
    1,314.97/1,971.93 = 492.77/x
  3. Step 3: Cross multiply
    1,314.97x = 1,971.93 × 492.77
  4. Step 4: Simplify right side
    1,314.97x = 971,707.95
  5. Step 5: Solve for x
    x = 971,707.95/1,314.97
  6. Step 6: Final answer
    x = 738.96

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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.