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Finding the Fourth Proportional to 871.51, 1,307.26 and 652.36

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Solution

The fourth proportional to 871.51, 1,307.26 and 652.36 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.51 : 1,307.26 = 652.36 : x
  2. Step 2: Convert to fraction form
    871.51/1,307.26 = 652.36/x
  3. Step 3: Cross multiply
    871.51x = 1,307.26 × 652.36
  4. Step 4: Simplify right side
    871.51x = 852,804.13
  5. Step 5: Solve for x
    x = 852,804.13/871.51
  6. Step 6: Final answer
    x = 978.54

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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.