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Finding the Fourth Proportional to 1,061.72, 1,600.54 and 971.48

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Solution

The fourth proportional to 1,061.72, 1,600.54 and 971.48 is: 1,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.72 : 1,600.54 = 971.48 : x
  2. Step 2: Convert to fraction form
    1,061.72/1,600.54 = 971.48/x
  3. Step 3: Cross multiply
    1,061.72x = 1,600.54 × 971.48
  4. Step 4: Simplify right side
    1,061.72x = 1,554,892.60
  5. Step 5: Solve for x
    x = 1,554,892.60/1,061.72
  6. Step 6: Final answer
    x = 1,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.