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Finding the Fourth Proportional to 1,075.58, 1,613.52 and 417.42

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Solution

The fourth proportional to 1,075.58, 1,613.52 and 417.42 is: 626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.58 : 1,613.52 = 417.42 : x
  2. Step 2: Convert to fraction form
    1,075.58/1,613.52 = 417.42/x
  3. Step 3: Cross multiply
    1,075.58x = 1,613.52 × 417.42
  4. Step 4: Simplify right side
    1,075.58x = 673,515.52
  5. Step 5: Solve for x
    x = 673,515.52/1,075.58
  6. Step 6: Final answer
    x = 626.19

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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.