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Finding the Fourth Proportional to 978.33, 1,460.51 and 944.16

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Solution

The fourth proportional to 978.33, 1,460.51 and 944.16 is: 1,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.33 : 1,460.51 = 944.16 : x
  2. Step 2: Convert to fraction form
    978.33/1,460.51 = 944.16/x
  3. Step 3: Cross multiply
    978.33x = 1,460.51 × 944.16
  4. Step 4: Simplify right side
    978.33x = 1,378,955.12
  5. Step 5: Solve for x
    x = 1,378,955.12/978.33
  6. Step 6: Final answer
    x = 1,409.50

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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.