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Finding the Fourth Proportional to 1,074.49, 1,610.71 and 527.06

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Solution

The fourth proportional to 1,074.49, 1,610.71 and 527.06 is: 790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.49 : 1,610.71 = 527.06 : x
  2. Step 2: Convert to fraction form
    1,074.49/1,610.71 = 527.06/x
  3. Step 3: Cross multiply
    1,074.49x = 1,610.71 × 527.06
  4. Step 4: Simplify right side
    1,074.49x = 848,935.94
  5. Step 5: Solve for x
    x = 848,935.94/1,074.49
  6. Step 6: Final answer
    x = 790.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.