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Finding the Fourth Proportional to 1,075.18, 1,613.14 and 458.62

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Solution

The fourth proportional to 1,075.18, 1,613.14 and 458.62 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.18 : 1,613.14 = 458.62 : x
  2. Step 2: Convert to fraction form
    1,075.18/1,613.14 = 458.62/x
  3. Step 3: Cross multiply
    1,075.18x = 1,613.14 × 458.62
  4. Step 4: Simplify right side
    1,075.18x = 739,818.27
  5. Step 5: Solve for x
    x = 739,818.27/1,075.18
  6. Step 6: Final answer
    x = 688.09

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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.