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Finding the Fourth Proportional to 1,075.21, 1,484.49 and 826.07

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Solution

The fourth proportional to 1,075.21, 1,484.49 and 826.07 is: 1,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.21 : 1,484.49 = 826.07 : x
  2. Step 2: Convert to fraction form
    1,075.21/1,484.49 = 826.07/x
  3. Step 3: Cross multiply
    1,075.21x = 1,484.49 × 826.07
  4. Step 4: Simplify right side
    1,075.21x = 1,226,288.33
  5. Step 5: Solve for x
    x = 1,226,288.33/1,075.21
  6. Step 6: Final answer
    x = 1,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.