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Finding the Fourth Proportional to 1,301.58, 1,951.02 and 571.50

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Solution

The fourth proportional to 1,301.58, 1,951.02 and 571.50 is: 856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,951.02 = 571.50 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,951.02 = 571.50/x
  3. Step 3: Cross multiply
    1,301.58x = 1,951.02 × 571.50
  4. Step 4: Simplify right side
    1,301.58x = 1,115,007.93
  5. Step 5: Solve for x
    x = 1,115,007.93/1,301.58
  6. Step 6: Final answer
    x = 856.66

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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.