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Finding the Fourth Proportional to 1,109.07, 1,530.31 and 666.98

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Solution

The fourth proportional to 1,109.07, 1,530.31 and 666.98 is: 920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.07 : 1,530.31 = 666.98 : x
  2. Step 2: Convert to fraction form
    1,109.07/1,530.31 = 666.98/x
  3. Step 3: Cross multiply
    1,109.07x = 1,530.31 × 666.98
  4. Step 4: Simplify right side
    1,109.07x = 1,020,676.84
  5. Step 5: Solve for x
    x = 1,020,676.84/1,109.07
  6. Step 6: Final answer
    x = 920.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.