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Finding the Fourth Proportional to 1,017.72, 1,526.42 and 287.36

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Solution

The fourth proportional to 1,017.72, 1,526.42 and 287.36 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.72 : 1,526.42 = 287.36 : x
  2. Step 2: Convert to fraction form
    1,017.72/1,526.42 = 287.36/x
  3. Step 3: Cross multiply
    1,017.72x = 1,526.42 × 287.36
  4. Step 4: Simplify right side
    1,017.72x = 438,632.05
  5. Step 5: Solve for x
    x = 438,632.05/1,017.72
  6. Step 6: Final answer
    x = 430.99

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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.