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Finding the Fourth Proportional to 1,075.64, 1,613.12 and 417.47

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Solution

The fourth proportional to 1,075.64, 1,613.12 and 417.47 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.64 : 1,613.12 = 417.47 : x
  2. Step 2: Convert to fraction form
    1,075.64/1,613.12 = 417.47/x
  3. Step 3: Cross multiply
    1,075.64x = 1,613.12 × 417.47
  4. Step 4: Simplify right side
    1,075.64x = 673,419.05
  5. Step 5: Solve for x
    x = 673,419.05/1,075.64
  6. Step 6: Final answer
    x = 626.07

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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.