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Finding the Fourth Proportional to 766.61, 1,058.01 and 435.14

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Solution

The fourth proportional to 766.61, 1,058.01 and 435.14 is: 600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,058.01 = 435.14 : x
  2. Step 2: Convert to fraction form
    766.61/1,058.01 = 435.14/x
  3. Step 3: Cross multiply
    766.61x = 1,058.01 × 435.14
  4. Step 4: Simplify right side
    766.61x = 460,381.96
  5. Step 5: Solve for x
    x = 460,381.96/766.61
  6. Step 6: Final answer
    x = 600.55

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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.