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Finding the Fourth Proportional to 1,075.78, 1,613.67 and 458.96

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Solution

The fourth proportional to 1,075.78, 1,613.67 and 458.96 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.78 : 1,613.67 = 458.96 : x
  2. Step 2: Convert to fraction form
    1,075.78/1,613.67 = 458.96/x
  3. Step 3: Cross multiply
    1,075.78x = 1,613.67 × 458.96
  4. Step 4: Simplify right side
    1,075.78x = 740,607.69
  5. Step 5: Solve for x
    x = 740,607.69/1,075.78
  6. Step 6: Final answer
    x = 688.44

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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.