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Finding the Fourth Proportional to 944.93, 1,303.98 and 525.26

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Solution

The fourth proportional to 944.93, 1,303.98 and 525.26 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.93 : 1,303.98 = 525.26 : x
  2. Step 2: Convert to fraction form
    944.93/1,303.98 = 525.26/x
  3. Step 3: Cross multiply
    944.93x = 1,303.98 × 525.26
  4. Step 4: Simplify right side
    944.93x = 684,928.53
  5. Step 5: Solve for x
    x = 684,928.53/944.93
  6. Step 6: Final answer
    x = 724.85

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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.