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Finding the Fourth Proportional to 870.53, 1,201.32 and 521.21

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Solution

The fourth proportional to 870.53, 1,201.32 and 521.21 is: 719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.53 : 1,201.32 = 521.21 : x
  2. Step 2: Convert to fraction form
    870.53/1,201.32 = 521.21/x
  3. Step 3: Cross multiply
    870.53x = 1,201.32 × 521.21
  4. Step 4: Simplify right side
    870.53x = 626,143.00
  5. Step 5: Solve for x
    x = 626,143.00/870.53
  6. Step 6: Final answer
    x = 719.27

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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.