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Finding the Fourth Proportional to 1,018.23, 1,527.26 and 360.02

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Solution

The fourth proportional to 1,018.23, 1,527.26 and 360.02 is: 539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.23 : 1,527.26 = 360.02 : x
  2. Step 2: Convert to fraction form
    1,018.23/1,527.26 = 360.02/x
  3. Step 3: Cross multiply
    1,018.23x = 1,527.26 × 360.02
  4. Step 4: Simplify right side
    1,018.23x = 549,834.71
  5. Step 5: Solve for x
    x = 549,834.71/1,018.23
  6. Step 6: Final answer
    x = 539.99

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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.