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Finding the Fourth Proportional to 1,075.52, 1,473.88 and 971.84

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Solution

The fourth proportional to 1,075.52, 1,473.88 and 971.84 is: 1,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.52 : 1,473.88 = 971.84 : x
  2. Step 2: Convert to fraction form
    1,075.52/1,473.88 = 971.84/x
  3. Step 3: Cross multiply
    1,075.52x = 1,473.88 × 971.84
  4. Step 4: Simplify right side
    1,075.52x = 1,432,375.54
  5. Step 5: Solve for x
    x = 1,432,375.54/1,075.52
  6. Step 6: Final answer
    x = 1,331.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.