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Finding the Fourth Proportional to 1,075.95, 1,473.68 and 1,012.91

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Solution

The fourth proportional to 1,075.95, 1,473.68 and 1,012.91 is: 1,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.95 : 1,473.68 = 1,012.91 : x
  2. Step 2: Convert to fraction form
    1,075.95/1,473.68 = 1,012.91/x
  3. Step 3: Cross multiply
    1,075.95x = 1,473.68 × 1,012.91
  4. Step 4: Simplify right side
    1,075.95x = 1,492,705.21
  5. Step 5: Solve for x
    x = 1,492,705.21/1,075.95
  6. Step 6: Final answer
    x = 1,387.34

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