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Finding the Fourth Proportional to 1,075.20, 1,484.28 and 761.28

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Solution

The fourth proportional to 1,075.20, 1,484.28 and 761.28 is: 1,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.20 : 1,484.28 = 761.28 : x
  2. Step 2: Convert to fraction form
    1,075.20/1,484.28 = 761.28/x
  3. Step 3: Cross multiply
    1,075.20x = 1,484.28 × 761.28
  4. Step 4: Simplify right side
    1,075.20x = 1,129,952.68
  5. Step 5: Solve for x
    x = 1,129,952.68/1,075.20
  6. Step 6: Final answer
    x = 1,050.92

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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.