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Finding the Fourth Proportional to 772.04, 1,064.67 and 509.60

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Solution

The fourth proportional to 772.04, 1,064.67 and 509.60 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,064.67 = 509.60 : x
  2. Step 2: Convert to fraction form
    772.04/1,064.67 = 509.60/x
  3. Step 3: Cross multiply
    772.04x = 1,064.67 × 509.60
  4. Step 4: Simplify right side
    772.04x = 542,555.83
  5. Step 5: Solve for x
    x = 542,555.83/772.04
  6. Step 6: Final answer
    x = 702.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.