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Finding the Fourth Proportional to 1,050.75, 1,450.14 and 585.09

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Solution

The fourth proportional to 1,050.75, 1,450.14 and 585.09 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.75 : 1,450.14 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,050.75/1,450.14 = 585.09/x
  3. Step 3: Cross multiply
    1,050.75x = 1,450.14 × 585.09
  4. Step 4: Simplify right side
    1,050.75x = 848,462.41
  5. Step 5: Solve for x
    x = 848,462.41/1,050.75
  6. Step 6: Final answer
    x = 807.48

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Double scale
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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.