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Finding the Fourth Proportional to 698.75, 1,045.37 and 525.83

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Solution

The fourth proportional to 698.75, 1,045.37 and 525.83 is: 786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 1,045.37 = 525.83 : x
  2. Step 2: Convert to fraction form
    698.75/1,045.37 = 525.83/x
  3. Step 3: Cross multiply
    698.75x = 1,045.37 × 525.83
  4. Step 4: Simplify right side
    698.75x = 549,679.05
  5. Step 5: Solve for x
    x = 549,679.05/698.75
  6. Step 6: Final answer
    x = 786.67

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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.