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Finding the Fourth Proportional to 1,175.37, 1,762.71 and 353.45

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Solution

The fourth proportional to 1,175.37, 1,762.71 and 353.45 is: 530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.37 : 1,762.71 = 353.45 : x
  2. Step 2: Convert to fraction form
    1,175.37/1,762.71 = 353.45/x
  3. Step 3: Cross multiply
    1,175.37x = 1,762.71 × 353.45
  4. Step 4: Simplify right side
    1,175.37x = 623,021.04
  5. Step 5: Solve for x
    x = 623,021.04/1,175.37
  6. Step 6: Final answer
    x = 530.06

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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.