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Finding the Fourth Proportional to 601.61, 831.11 and 570.83

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Solution

The fourth proportional to 601.61, 831.11 and 570.83 is: 788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.61 : 831.11 = 570.83 : x
  2. Step 2: Convert to fraction form
    601.61/831.11 = 570.83/x
  3. Step 3: Cross multiply
    601.61x = 831.11 × 570.83
  4. Step 4: Simplify right side
    601.61x = 474,415.51
  5. Step 5: Solve for x
    x = 474,415.51/601.61
  6. Step 6: Final answer
    x = 788.58

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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.