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Finding the Fourth Proportional to 1,420.13, 2,130.71 and 640.31

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Solution

The fourth proportional to 1,420.13, 2,130.71 and 640.31 is: 960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.13 : 2,130.71 = 640.31 : x
  2. Step 2: Convert to fraction form
    1,420.13/2,130.71 = 640.31/x
  3. Step 3: Cross multiply
    1,420.13x = 2,130.71 × 640.31
  4. Step 4: Simplify right side
    1,420.13x = 1,364,301.07
  5. Step 5: Solve for x
    x = 1,364,301.07/1,420.13
  6. Step 6: Final answer
    x = 960.69

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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.