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Finding the Fourth Proportional to 1,301.84, 1,953.36 and 642.71

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Solution

The fourth proportional to 1,301.84, 1,953.36 and 642.71 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.84 : 1,953.36 = 642.71 : x
  2. Step 2: Convert to fraction form
    1,301.84/1,953.36 = 642.71/x
  3. Step 3: Cross multiply
    1,301.84x = 1,953.36 × 642.71
  4. Step 4: Simplify right side
    1,301.84x = 1,255,434.24
  5. Step 5: Solve for x
    x = 1,255,434.24/1,301.84
  6. Step 6: Final answer
    x = 964.36

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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.