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Finding the Fourth Proportional to 1,295.30, 1,943.29 and 370.93

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Solution

The fourth proportional to 1,295.30, 1,943.29 and 370.93 is: 556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.30 : 1,943.29 = 370.93 : x
  2. Step 2: Convert to fraction form
    1,295.30/1,943.29 = 370.93/x
  3. Step 3: Cross multiply
    1,295.30x = 1,943.29 × 370.93
  4. Step 4: Simplify right side
    1,295.30x = 720,823.81
  5. Step 5: Solve for x
    x = 720,823.81/1,295.30
  6. Step 6: Final answer
    x = 556.49

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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.