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Finding the Fourth Proportional to 1,056.84, 1,584.09 and 440.34

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Solution

The fourth proportional to 1,056.84, 1,584.09 and 440.34 is: 660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.84 : 1,584.09 = 440.34 : x
  2. Step 2: Convert to fraction form
    1,056.84/1,584.09 = 440.34/x
  3. Step 3: Cross multiply
    1,056.84x = 1,584.09 × 440.34
  4. Step 4: Simplify right side
    1,056.84x = 697,538.19
  5. Step 5: Solve for x
    x = 697,538.19/1,056.84
  6. Step 6: Final answer
    x = 660.02

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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.