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Finding the Fourth Proportional to 1,181.07, 1,771.88 and 564.93

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Solution

The fourth proportional to 1,181.07, 1,771.88 and 564.93 is: 847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.07 : 1,771.88 = 564.93 : x
  2. Step 2: Convert to fraction form
    1,181.07/1,771.88 = 564.93/x
  3. Step 3: Cross multiply
    1,181.07x = 1,771.88 × 564.93
  4. Step 4: Simplify right side
    1,181.07x = 1,000,985.34
  5. Step 5: Solve for x
    x = 1,000,985.34/1,181.07
  6. Step 6: Final answer
    x = 847.52

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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.