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Finding the Fourth Proportional to 970.47, 1,458.18 and 581.67

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Solution

The fourth proportional to 970.47, 1,458.18 and 581.67 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.47 : 1,458.18 = 581.67 : x
  2. Step 2: Convert to fraction form
    970.47/1,458.18 = 581.67/x
  3. Step 3: Cross multiply
    970.47x = 1,458.18 × 581.67
  4. Step 4: Simplify right side
    970.47x = 848,179.56
  5. Step 5: Solve for x
    x = 848,179.56/970.47
  6. Step 6: Final answer
    x = 873.99

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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.