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Finding the Fourth Proportional to 737.45, 1,014.53 and 716.95

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Solution

The fourth proportional to 737.45, 1,014.53 and 716.95 is: 986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.45 : 1,014.53 = 716.95 : x
  2. Step 2: Convert to fraction form
    737.45/1,014.53 = 716.95/x
  3. Step 3: Cross multiply
    737.45x = 1,014.53 × 716.95
  4. Step 4: Simplify right side
    737.45x = 727,364.00
  5. Step 5: Solve for x
    x = 727,364.00/737.45
  6. Step 6: Final answer
    x = 986.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.