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Finding the Fourth Proportional to 825.24, 1,139.06 and 510.55

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Solution

The fourth proportional to 825.24, 1,139.06 and 510.55 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,139.06 = 510.55 : x
  2. Step 2: Convert to fraction form
    825.24/1,139.06 = 510.55/x
  3. Step 3: Cross multiply
    825.24x = 1,139.06 × 510.55
  4. Step 4: Simplify right side
    825.24x = 581,547.08
  5. Step 5: Solve for x
    x = 581,547.08/825.24
  6. Step 6: Final answer
    x = 704.70

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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.