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Finding the Fourth Proportional to 944.90, 1,303.95 and 525.25

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Solution

The fourth proportional to 944.90, 1,303.95 and 525.25 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.90 : 1,303.95 = 525.25 : x
  2. Step 2: Convert to fraction form
    944.90/1,303.95 = 525.25/x
  3. Step 3: Cross multiply
    944.90x = 1,303.95 × 525.25
  4. Step 4: Simplify right side
    944.90x = 684,899.74
  5. Step 5: Solve for x
    x = 684,899.74/944.90
  6. Step 6: Final answer
    x = 724.84

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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.