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Finding the Fourth Proportional to 730.41, 1,099.89 and 526.40

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Solution

The fourth proportional to 730.41, 1,099.89 and 526.40 is: 792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,099.89 = 526.40 : x
  2. Step 2: Convert to fraction form
    730.41/1,099.89 = 526.40/x
  3. Step 3: Cross multiply
    730.41x = 1,099.89 × 526.40
  4. Step 4: Simplify right side
    730.41x = 578,976.60
  5. Step 5: Solve for x
    x = 578,976.60/730.41
  6. Step 6: Final answer
    x = 792.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.