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Finding the Fourth Proportional to 1,018.68, 1,525.98 and 470.10

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Solution

The fourth proportional to 1,018.68, 1,525.98 and 470.10 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.68 : 1,525.98 = 470.10 : x
  2. Step 2: Convert to fraction form
    1,018.68/1,525.98 = 470.10/x
  3. Step 3: Cross multiply
    1,018.68x = 1,525.98 × 470.10
  4. Step 4: Simplify right side
    1,018.68x = 717,363.20
  5. Step 5: Solve for x
    x = 717,363.20/1,018.68
  6. Step 6: Final answer
    x = 704.21

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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.