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Finding the Fourth Proportional to 1,109.62, 1,530.12 and 711.10

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Solution

The fourth proportional to 1,109.62, 1,530.12 and 711.10 is: 980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,530.12 = 711.10 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,530.12 = 711.10/x
  3. Step 3: Cross multiply
    1,109.62x = 1,530.12 × 711.10
  4. Step 4: Simplify right side
    1,109.62x = 1,088,068.33
  5. Step 5: Solve for x
    x = 1,088,068.33/1,109.62
  6. Step 6: Final answer
    x = 980.58

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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.