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Finding the Fourth Proportional to 1,141.51, 1,709.50 and 653.08

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Solution

The fourth proportional to 1,141.51, 1,709.50 and 653.08 is: 978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.51 : 1,709.50 = 653.08 : x
  2. Step 2: Convert to fraction form
    1,141.51/1,709.50 = 653.08/x
  3. Step 3: Cross multiply
    1,141.51x = 1,709.50 × 653.08
  4. Step 4: Simplify right side
    1,141.51x = 1,116,428.45
  5. Step 5: Solve for x
    x = 1,116,428.45/1,141.51
  6. Step 6: Final answer
    x = 978.03

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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.