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Finding the Fourth Proportional to 706.16, 1,058.39 and 623.13

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Solution

The fourth proportional to 706.16, 1,058.39 and 623.13 is: 933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 1,058.39 = 623.13 : x
  2. Step 2: Convert to fraction form
    706.16/1,058.39 = 623.13/x
  3. Step 3: Cross multiply
    706.16x = 1,058.39 × 623.13
  4. Step 4: Simplify right side
    706.16x = 659,509.81
  5. Step 5: Solve for x
    x = 659,509.81/706.16
  6. Step 6: Final answer
    x = 933.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.