Home / 1,285.04-1,923.93-978.14

Finding the Fourth Proportional to 1,285.04, 1,923.93 and 978.14

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Solution

The fourth proportional to 1,285.04, 1,923.93 and 978.14 is: 1,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.04 : 1,923.93 = 978.14 : x
  2. Step 2: Convert to fraction form
    1,285.04/1,923.93 = 978.14/x
  3. Step 3: Cross multiply
    1,285.04x = 1,923.93 × 978.14
  4. Step 4: Simplify right side
    1,285.04x = 1,881,872.89
  5. Step 5: Solve for x
    x = 1,881,872.89/1,285.04
  6. Step 6: Final answer
    x = 1,464.45

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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.