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Finding the Fourth Proportional to 1,136.57, 1,567.62 and 694.10

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Solution

The fourth proportional to 1,136.57, 1,567.62 and 694.10 is: 957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.57 : 1,567.62 = 694.10 : x
  2. Step 2: Convert to fraction form
    1,136.57/1,567.62 = 694.10/x
  3. Step 3: Cross multiply
    1,136.57x = 1,567.62 × 694.10
  4. Step 4: Simplify right side
    1,136.57x = 1,088,088.96
  5. Step 5: Solve for x
    x = 1,088,088.96/1,136.57
  6. Step 6: Final answer
    x = 957.35

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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.