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Finding the Fourth Proportional to 1,521.29, 2,281.01 and 597.29

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Solution

The fourth proportional to 1,521.29, 2,281.01 and 597.29 is: 895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.29 : 2,281.01 = 597.29 : x
  2. Step 2: Convert to fraction form
    1,521.29/2,281.01 = 597.29/x
  3. Step 3: Cross multiply
    1,521.29x = 2,281.01 × 597.29
  4. Step 4: Simplify right side
    1,521.29x = 1,362,410.07
  5. Step 5: Solve for x
    x = 1,362,410.07/1,521.29
  6. Step 6: Final answer
    x = 895.56

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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.