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Finding the Fourth Proportional to 1,098.50, 1,516.62 and 706.21

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Solution

The fourth proportional to 1,098.50, 1,516.62 and 706.21 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.50 : 1,516.62 = 706.21 : x
  2. Step 2: Convert to fraction form
    1,098.50/1,516.62 = 706.21/x
  3. Step 3: Cross multiply
    1,098.50x = 1,516.62 × 706.21
  4. Step 4: Simplify right side
    1,098.50x = 1,071,052.21
  5. Step 5: Solve for x
    x = 1,071,052.21/1,098.50
  6. Step 6: Final answer
    x = 975.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.