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Finding the Fourth Proportional to 1,075.87, 1,612.88 and 581.77

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Solution

The fourth proportional to 1,075.87, 1,612.88 and 581.77 is: 872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.87 : 1,612.88 = 581.77 : x
  2. Step 2: Convert to fraction form
    1,075.87/1,612.88 = 581.77/x
  3. Step 3: Cross multiply
    1,075.87x = 1,612.88 × 581.77
  4. Step 4: Simplify right side
    1,075.87x = 938,314.22
  5. Step 5: Solve for x
    x = 938,314.22/1,075.87
  6. Step 6: Final answer
    x = 872.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.