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Finding the Fourth Proportional to 1,216.51, 1,824.77 and 971.89

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Solution

The fourth proportional to 1,216.51, 1,824.77 and 971.89 is: 1,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.51 : 1,824.77 = 971.89 : x
  2. Step 2: Convert to fraction form
    1,216.51/1,824.77 = 971.89/x
  3. Step 3: Cross multiply
    1,216.51x = 1,824.77 × 971.89
  4. Step 4: Simplify right side
    1,216.51x = 1,773,475.72
  5. Step 5: Solve for x
    x = 1,773,475.72/1,216.51
  6. Step 6: Final answer
    x = 1,457.84

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1.5x scale

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.