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Finding the Fourth Proportional to 772.04, 1,065.08 and 510.42

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Solution

The fourth proportional to 772.04, 1,065.08 and 510.42 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,065.08 = 510.42 : x
  2. Step 2: Convert to fraction form
    772.04/1,065.08 = 510.42/x
  3. Step 3: Cross multiply
    772.04x = 1,065.08 × 510.42
  4. Step 4: Simplify right side
    772.04x = 543,638.13
  5. Step 5: Solve for x
    x = 543,638.13/772.04
  6. Step 6: Final answer
    x = 704.16

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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.