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Finding the Fourth Proportional to 1,005.84, 1,506.42 and 971.22

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Solution

The fourth proportional to 1,005.84, 1,506.42 and 971.22 is: 1,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.84 : 1,506.42 = 971.22 : x
  2. Step 2: Convert to fraction form
    1,005.84/1,506.42 = 971.22/x
  3. Step 3: Cross multiply
    1,005.84x = 1,506.42 × 971.22
  4. Step 4: Simplify right side
    1,005.84x = 1,463,065.23
  5. Step 5: Solve for x
    x = 1,463,065.23/1,005.84
  6. Step 6: Final answer
    x = 1,454.57

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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.