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Finding the Fourth Proportional to 1,175.64, 1,762.02 and 598.20

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Solution

The fourth proportional to 1,175.64, 1,762.02 and 598.20 is: 896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.64 : 1,762.02 = 598.20 : x
  2. Step 2: Convert to fraction form
    1,175.64/1,762.02 = 598.20/x
  3. Step 3: Cross multiply
    1,175.64x = 1,762.02 × 598.20
  4. Step 4: Simplify right side
    1,175.64x = 1,054,040.36
  5. Step 5: Solve for x
    x = 1,054,040.36/1,175.64
  6. Step 6: Final answer
    x = 896.57

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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.