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Finding the Fourth Proportional to 962.91, 1,328.95 and 570.06

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Solution

The fourth proportional to 962.91, 1,328.95 and 570.06 is: 786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.91 : 1,328.95 = 570.06 : x
  2. Step 2: Convert to fraction form
    962.91/1,328.95 = 570.06/x
  3. Step 3: Cross multiply
    962.91x = 1,328.95 × 570.06
  4. Step 4: Simplify right side
    962.91x = 757,574.59
  5. Step 5: Solve for x
    x = 757,574.59/962.91
  6. Step 6: Final answer
    x = 786.76

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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.