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Finding the Fourth Proportional to 1,070.96, 1,606.43 and 340.53

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Solution

The fourth proportional to 1,070.96, 1,606.43 and 340.53 is: 510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.96 : 1,606.43 = 340.53 : x
  2. Step 2: Convert to fraction form
    1,070.96/1,606.43 = 340.53/x
  3. Step 3: Cross multiply
    1,070.96x = 1,606.43 × 340.53
  4. Step 4: Simplify right side
    1,070.96x = 547,035.91
  5. Step 5: Solve for x
    x = 547,035.91/1,070.96
  6. Step 6: Final answer
    x = 510.79

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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.