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Finding the Fourth Proportional to 1,070.98, 1,606.40 and 341.08

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Solution

The fourth proportional to 1,070.98, 1,606.40 and 341.08 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.98 : 1,606.40 = 341.08 : x
  2. Step 2: Convert to fraction form
    1,070.98/1,606.40 = 341.08/x
  3. Step 3: Cross multiply
    1,070.98x = 1,606.40 × 341.08
  4. Step 4: Simplify right side
    1,070.98x = 547,910.91
  5. Step 5: Solve for x
    x = 547,910.91/1,070.98
  6. Step 6: Final answer
    x = 511.60

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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.