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Finding the Fourth Proportional to 978.47, 1,460.70 and 944.28

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Solution

The fourth proportional to 978.47, 1,460.70 and 944.28 is: 1,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.47 : 1,460.70 = 944.28 : x
  2. Step 2: Convert to fraction form
    978.47/1,460.70 = 944.28/x
  3. Step 3: Cross multiply
    978.47x = 1,460.70 × 944.28
  4. Step 4: Simplify right side
    978.47x = 1,379,309.80
  5. Step 5: Solve for x
    x = 1,379,309.80/978.47
  6. Step 6: Final answer
    x = 1,409.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.