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Finding the Fourth Proportional to 1,075.62, 1,610.84 and 612.00

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Solution

The fourth proportional to 1,075.62, 1,610.84 and 612.00 is: 916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.62 : 1,610.84 = 612.00 : x
  2. Step 2: Convert to fraction form
    1,075.62/1,610.84 = 612.00/x
  3. Step 3: Cross multiply
    1,075.62x = 1,610.84 × 612.00
  4. Step 4: Simplify right side
    1,075.62x = 985,827.27
  5. Step 5: Solve for x
    x = 985,827.27/1,075.62
  6. Step 6: Final answer
    x = 916.52

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