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Finding the Fourth Proportional to 1,075.28, 1,483.34 and 904.88

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Solution

The fourth proportional to 1,075.28, 1,483.34 and 904.88 is: 1,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.28 : 1,483.34 = 904.88 : x
  2. Step 2: Convert to fraction form
    1,075.28/1,483.34 = 904.88/x
  3. Step 3: Cross multiply
    1,075.28x = 1,483.34 × 904.88
  4. Step 4: Simplify right side
    1,075.28x = 1,342,240.17
  5. Step 5: Solve for x
    x = 1,342,240.17/1,075.28
  6. Step 6: Final answer
    x = 1,248.27

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