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Finding the Fourth Proportional to 1,136.84, 1,569.04 and 805.28

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Solution

The fourth proportional to 1,136.84, 1,569.04 and 805.28 is: 1,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.84 : 1,569.04 = 805.28 : x
  2. Step 2: Convert to fraction form
    1,136.84/1,569.04 = 805.28/x
  3. Step 3: Cross multiply
    1,136.84x = 1,569.04 × 805.28
  4. Step 4: Simplify right side
    1,136.84x = 1,263,506.67
  5. Step 5: Solve for x
    x = 1,263,506.67/1,136.84
  6. Step 6: Final answer
    x = 1,111.42

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1.5x scale

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.