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Finding the Fourth Proportional to 1,303.54, 1,955.65 and 379.18

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Solution

The fourth proportional to 1,303.54, 1,955.65 and 379.18 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.54 : 1,955.65 = 379.18 : x
  2. Step 2: Convert to fraction form
    1,303.54/1,955.65 = 379.18/x
  3. Step 3: Cross multiply
    1,303.54x = 1,955.65 × 379.18
  4. Step 4: Simplify right side
    1,303.54x = 741,543.37
  5. Step 5: Solve for x
    x = 741,543.37/1,303.54
  6. Step 6: Final answer
    x = 568.87

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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.