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Finding the Fourth Proportional to 1,857.51, 2,785.59 and 624.69

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Solution

The fourth proportional to 1,857.51, 2,785.59 and 624.69 is: 936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.51 : 2,785.59 = 624.69 : x
  2. Step 2: Convert to fraction form
    1,857.51/2,785.59 = 624.69/x
  3. Step 3: Cross multiply
    1,857.51x = 2,785.59 × 624.69
  4. Step 4: Simplify right side
    1,857.51x = 1,740,130.22
  5. Step 5: Solve for x
    x = 1,740,130.22/1,857.51
  6. Step 6: Final answer
    x = 936.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.