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Finding the Fourth Proportional to 1,136.16, 1,567.64 and 763.84

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Solution

The fourth proportional to 1,136.16, 1,567.64 and 763.84 is: 1,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.16 : 1,567.64 = 763.84 : x
  2. Step 2: Convert to fraction form
    1,136.16/1,567.64 = 763.84/x
  3. Step 3: Cross multiply
    1,136.16x = 1,567.64 × 763.84
  4. Step 4: Simplify right side
    1,136.16x = 1,197,426.14
  5. Step 5: Solve for x
    x = 1,197,426.14/1,136.16
  6. Step 6: Final answer
    x = 1,053.92

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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.