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Finding the Fourth Proportional to 1,070.87, 1,606.48 and 340.61

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Solution

The fourth proportional to 1,070.87, 1,606.48 and 340.61 is: 510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.87 : 1,606.48 = 340.61 : x
  2. Step 2: Convert to fraction form
    1,070.87/1,606.48 = 340.61/x
  3. Step 3: Cross multiply
    1,070.87x = 1,606.48 × 340.61
  4. Step 4: Simplify right side
    1,070.87x = 547,186.32
  5. Step 5: Solve for x
    x = 547,186.32/1,070.87
  6. Step 6: Final answer
    x = 510.97

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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.