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Finding the Fourth Proportional to 1,013.68, 1,518.96 and 706.16

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Solution

The fourth proportional to 1,013.68, 1,518.96 and 706.16 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.68 : 1,518.96 = 706.16 : x
  2. Step 2: Convert to fraction form
    1,013.68/1,518.96 = 706.16/x
  3. Step 3: Cross multiply
    1,013.68x = 1,518.96 × 706.16
  4. Step 4: Simplify right side
    1,013.68x = 1,072,628.79
  5. Step 5: Solve for x
    x = 1,072,628.79/1,013.68
  6. Step 6: Final answer
    x = 1,058.15

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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.