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Finding the Fourth Proportional to 1,330.02, 1,994.85 and 528.66

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Solution

The fourth proportional to 1,330.02, 1,994.85 and 528.66 is: 792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.02 : 1,994.85 = 528.66 : x
  2. Step 2: Convert to fraction form
    1,330.02/1,994.85 = 528.66/x
  3. Step 3: Cross multiply
    1,330.02x = 1,994.85 × 528.66
  4. Step 4: Simplify right side
    1,330.02x = 1,054,597.40
  5. Step 5: Solve for x
    x = 1,054,597.40/1,330.02
  6. Step 6: Final answer
    x = 792.92

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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.