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Finding the Fourth Proportional to 1,075.85, 1,613.78 and 588.81

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Solution

The fourth proportional to 1,075.85, 1,613.78 and 588.81 is: 883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.85 : 1,613.78 = 588.81 : x
  2. Step 2: Convert to fraction form
    1,075.85/1,613.78 = 588.81/x
  3. Step 3: Cross multiply
    1,075.85x = 1,613.78 × 588.81
  4. Step 4: Simplify right side
    1,075.85x = 950,209.80
  5. Step 5: Solve for x
    x = 950,209.80/1,075.85
  6. Step 6: Final answer
    x = 883.22

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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.