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Finding the Fourth Proportional to 1,295.75, 1,943.93 and 430.06

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Solution

The fourth proportional to 1,295.75, 1,943.93 and 430.06 is: 645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.75 : 1,943.93 = 430.06 : x
  2. Step 2: Convert to fraction form
    1,295.75/1,943.93 = 430.06/x
  3. Step 3: Cross multiply
    1,295.75x = 1,943.93 × 430.06
  4. Step 4: Simplify right side
    1,295.75x = 836,006.54
  5. Step 5: Solve for x
    x = 836,006.54/1,295.75
  6. Step 6: Final answer
    x = 645.19

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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.