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Finding the Fourth Proportional to 1,026.08, 1,417.56 and 763.64

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Solution

The fourth proportional to 1,026.08, 1,417.56 and 763.64 is: 1,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.08 : 1,417.56 = 763.64 : x
  2. Step 2: Convert to fraction form
    1,026.08/1,417.56 = 763.64/x
  3. Step 3: Cross multiply
    1,026.08x = 1,417.56 × 763.64
  4. Step 4: Simplify right side
    1,026.08x = 1,082,505.52
  5. Step 5: Solve for x
    x = 1,082,505.52/1,026.08
  6. Step 6: Final answer
    x = 1,054.99

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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.