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Finding the Fourth Proportional to 1,017.38, 1,525.62 and 555.32

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Solution

The fourth proportional to 1,017.38, 1,525.62 and 555.32 is: 832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.38 : 1,525.62 = 555.32 : x
  2. Step 2: Convert to fraction form
    1,017.38/1,525.62 = 555.32/x
  3. Step 3: Cross multiply
    1,017.38x = 1,525.62 × 555.32
  4. Step 4: Simplify right side
    1,017.38x = 847,207.30
  5. Step 5: Solve for x
    x = 847,207.30/1,017.38
  6. Step 6: Final answer
    x = 832.73

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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.