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Finding the Fourth Proportional to 707.55, 1,061.32 and 498.45

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Solution

The fourth proportional to 707.55, 1,061.32 and 498.45 is: 747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 1,061.32 = 498.45 : x
  2. Step 2: Convert to fraction form
    707.55/1,061.32 = 498.45/x
  3. Step 3: Cross multiply
    707.55x = 1,061.32 × 498.45
  4. Step 4: Simplify right side
    707.55x = 529,018.62
  5. Step 5: Solve for x
    x = 529,018.62/707.55
  6. Step 6: Final answer
    x = 747.67

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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.