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Finding the Fourth Proportional to 1,005.98, 1,386.84 and 691.16

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Solution

The fourth proportional to 1,005.98, 1,386.84 and 691.16 is: 952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.98 : 1,386.84 = 691.16 : x
  2. Step 2: Convert to fraction form
    1,005.98/1,386.84 = 691.16/x
  3. Step 3: Cross multiply
    1,005.98x = 1,386.84 × 691.16
  4. Step 4: Simplify right side
    1,005.98x = 958,528.33
  5. Step 5: Solve for x
    x = 958,528.33/1,005.98
  6. Step 6: Final answer
    x = 952.83

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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.