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Finding the Fourth Proportional to 601.51, 830.62 and 504.01

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Solution

The fourth proportional to 601.51, 830.62 and 504.01 is: 695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.51 : 830.62 = 504.01 : x
  2. Step 2: Convert to fraction form
    601.51/830.62 = 504.01/x
  3. Step 3: Cross multiply
    601.51x = 830.62 × 504.01
  4. Step 4: Simplify right side
    601.51x = 418,640.79
  5. Step 5: Solve for x
    x = 418,640.79/601.51
  6. Step 6: Final answer
    x = 695.98

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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.