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Finding the Fourth Proportional to 830.07, 1,245.38 and 692.55

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Solution

The fourth proportional to 830.07, 1,245.38 and 692.55 is: 1,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.07 : 1,245.38 = 692.55 : x
  2. Step 2: Convert to fraction form
    830.07/1,245.38 = 692.55/x
  3. Step 3: Cross multiply
    830.07x = 1,245.38 × 692.55
  4. Step 4: Simplify right side
    830.07x = 862,484.46
  5. Step 5: Solve for x
    x = 862,484.46/830.07
  6. Step 6: Final answer
    x = 1,039.05

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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.