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Finding the Fourth Proportional to 1,303.46, 1,955.43 and 438.02

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Solution

The fourth proportional to 1,303.46, 1,955.43 and 438.02 is: 657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.46 : 1,955.43 = 438.02 : x
  2. Step 2: Convert to fraction form
    1,303.46/1,955.43 = 438.02/x
  3. Step 3: Cross multiply
    1,303.46x = 1,955.43 × 438.02
  4. Step 4: Simplify right side
    1,303.46x = 856,517.45
  5. Step 5: Solve for x
    x = 856,517.45/1,303.46
  6. Step 6: Final answer
    x = 657.11

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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.