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Finding the Fourth Proportional to 1,046.00, 1,575.09 and 774.02

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Solution

The fourth proportional to 1,046.00, 1,575.09 and 774.02 is: 1,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.00 : 1,575.09 = 774.02 : x
  2. Step 2: Convert to fraction form
    1,046.00/1,575.09 = 774.02/x
  3. Step 3: Cross multiply
    1,046.00x = 1,575.09 × 774.02
  4. Step 4: Simplify right side
    1,046.00x = 1,219,155.10
  5. Step 5: Solve for x
    x = 1,219,155.10/1,046.00
  6. Step 6: Final answer
    x = 1,165.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.