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Finding the Fourth Proportional to 1,094.95, 1,511.05 and 646.83

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Solution

The fourth proportional to 1,094.95, 1,511.05 and 646.83 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.95 : 1,511.05 = 646.83 : x
  2. Step 2: Convert to fraction form
    1,094.95/1,511.05 = 646.83/x
  3. Step 3: Cross multiply
    1,094.95x = 1,511.05 × 646.83
  4. Step 4: Simplify right side
    1,094.95x = 977,392.47
  5. Step 5: Solve for x
    x = 977,392.47/1,094.95
  6. Step 6: Final answer
    x = 892.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.