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Finding the Fourth Proportional to 972, 1,458.36 and 459

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Solution

The fourth proportional to 972, 1,458.36 and 459 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,458.36 = 459 : x
  2. Step 2: Convert to fraction form
    972/1,458.36 = 459/x
  3. Step 3: Cross multiply
    972x = 1,458.36 × 459
  4. Step 4: Simplify right side
    972x = 669,387.24
  5. Step 5: Solve for x
    x = 669,387.24/972
  6. Step 6: Final answer
    x = 688.67

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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.