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Finding the Fourth Proportional to 1,007.76, 1,512 and 430.68

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Solution

The fourth proportional to 1,007.76, 1,512 and 430.68 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.76 : 1,512 = 430.68 : x
  2. Step 2: Convert to fraction form
    1,007.76/1,512 = 430.68/x
  3. Step 3: Cross multiply
    1,007.76x = 1,512 × 430.68
  4. Step 4: Simplify right side
    1,007.76x = 651,188.16
  5. Step 5: Solve for x
    x = 651,188.16/1,007.76
  6. Step 6: Final answer
    x = 646.17

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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.