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Finding the Fourth Proportional to 1,511.04, 2,085.36 and 848.04

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Solution

The fourth proportional to 1,511.04, 2,085.36 and 848.04 is: 1,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.04 : 2,085.36 = 848.04 : x
  2. Step 2: Convert to fraction form
    1,511.04/2,085.36 = 848.04/x
  3. Step 3: Cross multiply
    1,511.04x = 2,085.36 × 848.04
  4. Step 4: Simplify right side
    1,511.04x = 1,768,468.69
  5. Step 5: Solve for x
    x = 1,768,468.69/1,511.04
  6. Step 6: Final answer
    x = 1,170.37

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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.