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Finding the Fourth Proportional to 1,026.89, 1,415.10 and 957.63

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Solution

The fourth proportional to 1,026.89, 1,415.10 and 957.63 is: 1,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.89 : 1,415.10 = 957.63 : x
  2. Step 2: Convert to fraction form
    1,026.89/1,415.10 = 957.63/x
  3. Step 3: Cross multiply
    1,026.89x = 1,415.10 × 957.63
  4. Step 4: Simplify right side
    1,026.89x = 1,355,142.21
  5. Step 5: Solve for x
    x = 1,355,142.21/1,026.89
  6. Step 6: Final answer
    x = 1,319.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.