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Finding the Fourth Proportional to 1,075.06, 1,613.40 and 861.22

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Solution

The fourth proportional to 1,075.06, 1,613.40 and 861.22 is: 1,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.06 : 1,613.40 = 861.22 : x
  2. Step 2: Convert to fraction form
    1,075.06/1,613.40 = 861.22/x
  3. Step 3: Cross multiply
    1,075.06x = 1,613.40 × 861.22
  4. Step 4: Simplify right side
    1,075.06x = 1,389,492.35
  5. Step 5: Solve for x
    x = 1,389,492.35/1,075.06
  6. Step 6: Final answer
    x = 1,292.48

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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.