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Finding the Fourth Proportional to 1,155.58, 1,595.52 and 763.42

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Solution

The fourth proportional to 1,155.58, 1,595.52 and 763.42 is: 1,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.58 : 1,595.52 = 763.42 : x
  2. Step 2: Convert to fraction form
    1,155.58/1,595.52 = 763.42/x
  3. Step 3: Cross multiply
    1,155.58x = 1,595.52 × 763.42
  4. Step 4: Simplify right side
    1,155.58x = 1,218,051.88
  5. Step 5: Solve for x
    x = 1,218,051.88/1,155.58
  6. Step 6: Final answer
    x = 1,054.06

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