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Finding the Fourth Proportional to 831.50, 1,147.45 and 458.47

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Solution

The fourth proportional to 831.50, 1,147.45 and 458.47 is: 632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.50 : 1,147.45 = 458.47 : x
  2. Step 2: Convert to fraction form
    831.50/1,147.45 = 458.47/x
  3. Step 3: Cross multiply
    831.50x = 1,147.45 × 458.47
  4. Step 4: Simplify right side
    831.50x = 526,063.37
  5. Step 5: Solve for x
    x = 526,063.37/831.50
  6. Step 6: Final answer
    x = 632.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.