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Finding the Fourth Proportional to 1,772.08, 2,657.58 and 473.38

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Solution

The fourth proportional to 1,772.08, 2,657.58 and 473.38 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.08 : 2,657.58 = 473.38 : x
  2. Step 2: Convert to fraction form
    1,772.08/2,657.58 = 473.38/x
  3. Step 3: Cross multiply
    1,772.08x = 2,657.58 × 473.38
  4. Step 4: Simplify right side
    1,772.08x = 1,258,045.22
  5. Step 5: Solve for x
    x = 1,258,045.22/1,772.08
  6. Step 6: Final answer
    x = 709.93

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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.