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Finding the Fourth Proportional to 1,094.06, 1,641.53 and 400.77

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Solution

The fourth proportional to 1,094.06, 1,641.53 and 400.77 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.06 : 1,641.53 = 400.77 : x
  2. Step 2: Convert to fraction form
    1,094.06/1,641.53 = 400.77/x
  3. Step 3: Cross multiply
    1,094.06x = 1,641.53 × 400.77
  4. Step 4: Simplify right side
    1,094.06x = 657,873.97
  5. Step 5: Solve for x
    x = 657,873.97/1,094.06
  6. Step 6: Final answer
    x = 601.32

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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.