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Finding the Fourth Proportional to 1,070.34, 1,605.62 and 548.91

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Solution

The fourth proportional to 1,070.34, 1,605.62 and 548.91 is: 823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.34 : 1,605.62 = 548.91 : x
  2. Step 2: Convert to fraction form
    1,070.34/1,605.62 = 548.91/x
  3. Step 3: Cross multiply
    1,070.34x = 1,605.62 × 548.91
  4. Step 4: Simplify right side
    1,070.34x = 881,338.13
  5. Step 5: Solve for x
    x = 881,338.13/1,070.34
  6. Step 6: Final answer
    x = 823.42

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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.