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Finding the Fourth Proportional to 1,308.12, 1,804.74 and 993.06

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Solution

The fourth proportional to 1,308.12, 1,804.74 and 993.06 is: 1,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.12 : 1,804.74 = 993.06 : x
  2. Step 2: Convert to fraction form
    1,308.12/1,804.74 = 993.06/x
  3. Step 3: Cross multiply
    1,308.12x = 1,804.74 × 993.06
  4. Step 4: Simplify right side
    1,308.12x = 1,792,215.10
  5. Step 5: Solve for x
    x = 1,792,215.10/1,308.12
  6. Step 6: Final answer
    x = 1,370.07

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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.