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Finding the Fourth Proportional to 1,110.98, 1,666.56 and 320.35

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Solution

The fourth proportional to 1,110.98, 1,666.56 and 320.35 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.98 : 1,666.56 = 320.35 : x
  2. Step 2: Convert to fraction form
    1,110.98/1,666.56 = 320.35/x
  3. Step 3: Cross multiply
    1,110.98x = 1,666.56 × 320.35
  4. Step 4: Simplify right side
    1,110.98x = 533,878.33
  5. Step 5: Solve for x
    x = 533,878.33/1,110.98
  6. Step 6: Final answer
    x = 480.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.