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Finding the Fourth Proportional to 1,018.42, 1,527.46 and 470.49

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Solution

The fourth proportional to 1,018.42, 1,527.46 and 470.49 is: 705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.42 : 1,527.46 = 470.49 : x
  2. Step 2: Convert to fraction form
    1,018.42/1,527.46 = 470.49/x
  3. Step 3: Cross multiply
    1,018.42x = 1,527.46 × 470.49
  4. Step 4: Simplify right side
    1,018.42x = 718,654.66
  5. Step 5: Solve for x
    x = 718,654.66/1,018.42
  6. Step 6: Final answer
    x = 705.66

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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.