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Finding the Fourth Proportional to 1,039.83, 1,559.67 and 346.95

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Solution

The fourth proportional to 1,039.83, 1,559.67 and 346.95 is: 520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.83 : 1,559.67 = 346.95 : x
  2. Step 2: Convert to fraction form
    1,039.83/1,559.67 = 346.95/x
  3. Step 3: Cross multiply
    1,039.83x = 1,559.67 × 346.95
  4. Step 4: Simplify right side
    1,039.83x = 541,127.51
  5. Step 5: Solve for x
    x = 541,127.51/1,039.83
  6. Step 6: Final answer
    x = 520.40

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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.