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Finding the Fourth Proportional to 1,136.04, 1,567.83 and 657.66

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Solution

The fourth proportional to 1,136.04, 1,567.83 and 657.66 is: 907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.04 : 1,567.83 = 657.66 : x
  2. Step 2: Convert to fraction form
    1,136.04/1,567.83 = 657.66/x
  3. Step 3: Cross multiply
    1,136.04x = 1,567.83 × 657.66
  4. Step 4: Simplify right side
    1,136.04x = 1,031,099.08
  5. Step 5: Solve for x
    x = 1,031,099.08/1,136.04
  6. Step 6: Final answer
    x = 907.63

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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.