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Finding the Fourth Proportional to 1,018.69, 1,528.72 and 470.88

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Solution

The fourth proportional to 1,018.69, 1,528.72 and 470.88 is: 706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.69 : 1,528.72 = 470.88 : x
  2. Step 2: Convert to fraction form
    1,018.69/1,528.72 = 470.88/x
  3. Step 3: Cross multiply
    1,018.69x = 1,528.72 × 470.88
  4. Step 4: Simplify right side
    1,018.69x = 719,842.50
  5. Step 5: Solve for x
    x = 719,842.50/1,018.69
  6. Step 6: Final answer
    x = 706.64

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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.