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Finding the Fourth Proportional to 3,250.23, 4,875.33 and 785.06

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Solution

The fourth proportional to 3,250.23, 4,875.33 and 785.06 is: 1,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.23 : 4,875.33 = 785.06 : x
  2. Step 2: Convert to fraction form
    3,250.23/4,875.33 = 785.06/x
  3. Step 3: Cross multiply
    3,250.23x = 4,875.33 × 785.06
  4. Step 4: Simplify right side
    3,250.23x = 3,827,402.19
  5. Step 5: Solve for x
    x = 3,827,402.19/3,250.23
  6. Step 6: Final answer
    x = 1,177.58

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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.