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Finding the Fourth Proportional to 1,301.35, 1,950.06 and 520.58

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Solution

The fourth proportional to 1,301.35, 1,950.06 and 520.58 is: 780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.35 : 1,950.06 = 520.58 : x
  2. Step 2: Convert to fraction form
    1,301.35/1,950.06 = 520.58/x
  3. Step 3: Cross multiply
    1,301.35x = 1,950.06 × 520.58
  4. Step 4: Simplify right side
    1,301.35x = 1,015,162.23
  5. Step 5: Solve for x
    x = 1,015,162.23/1,301.35
  6. Step 6: Final answer
    x = 780.08

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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.