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Finding the Fourth Proportional to 770.08, 1,155.60 and 314.08

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Solution

The fourth proportional to 770.08, 1,155.60 and 314.08 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.08 : 1,155.60 = 314.08 : x
  2. Step 2: Convert to fraction form
    770.08/1,155.60 = 314.08/x
  3. Step 3: Cross multiply
    770.08x = 1,155.60 × 314.08
  4. Step 4: Simplify right side
    770.08x = 362,950.85
  5. Step 5: Solve for x
    x = 362,950.85/770.08
  6. Step 6: Final answer
    x = 471.32

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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.