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Finding the Fourth Proportional to 767.58, 1,058.16 and 570.75

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Solution

The fourth proportional to 767.58, 1,058.16 and 570.75 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,058.16 = 570.75 : x
  2. Step 2: Convert to fraction form
    767.58/1,058.16 = 570.75/x
  3. Step 3: Cross multiply
    767.58x = 1,058.16 × 570.75
  4. Step 4: Simplify right side
    767.58x = 603,944.82
  5. Step 5: Solve for x
    x = 603,944.82/767.58
  6. Step 6: Final answer
    x = 786.82

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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.