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Finding the Fourth Proportional to 1,303.81, 1,956.12 and 438.05

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Solution

The fourth proportional to 1,303.81, 1,956.12 and 438.05 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.81 : 1,956.12 = 438.05 : x
  2. Step 2: Convert to fraction form
    1,303.81/1,956.12 = 438.05/x
  3. Step 3: Cross multiply
    1,303.81x = 1,956.12 × 438.05
  4. Step 4: Simplify right side
    1,303.81x = 856,876.18
  5. Step 5: Solve for x
    x = 856,876.18/1,303.81
  6. Step 6: Final answer
    x = 657.21

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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.