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Finding the Fourth Proportional to 1,127.22, 1,690.77 and 697.14

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Solution

The fourth proportional to 1,127.22, 1,690.77 and 697.14 is: 1,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.22 : 1,690.77 = 697.14 : x
  2. Step 2: Convert to fraction form
    1,127.22/1,690.77 = 697.14/x
  3. Step 3: Cross multiply
    1,127.22x = 1,690.77 × 697.14
  4. Step 4: Simplify right side
    1,127.22x = 1,178,703.40
  5. Step 5: Solve for x
    x = 1,178,703.40/1,127.22
  6. Step 6: Final answer
    x = 1,045.67

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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.