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Finding the Fourth Proportional to 1,018.30, 1,526.96 and 725.64

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Solution

The fourth proportional to 1,018.30, 1,526.96 and 725.64 is: 1,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.30 : 1,526.96 = 725.64 : x
  2. Step 2: Convert to fraction form
    1,018.30/1,526.96 = 725.64/x
  3. Step 3: Cross multiply
    1,018.30x = 1,526.96 × 725.64
  4. Step 4: Simplify right side
    1,018.30x = 1,108,023.25
  5. Step 5: Solve for x
    x = 1,108,023.25/1,018.30
  6. Step 6: Final answer
    x = 1,088.11

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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.