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Finding the Fourth Proportional to 944.71, 1,303.59 and 875.05

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Solution

The fourth proportional to 944.71, 1,303.59 and 875.05 is: 1,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.71 : 1,303.59 = 875.05 : x
  2. Step 2: Convert to fraction form
    944.71/1,303.59 = 875.05/x
  3. Step 3: Cross multiply
    944.71x = 1,303.59 × 875.05
  4. Step 4: Simplify right side
    944.71x = 1,140,706.43
  5. Step 5: Solve for x
    x = 1,140,706.43/944.71
  6. Step 6: Final answer
    x = 1,207.47

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