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Finding the Fourth Proportional to 775.90, 1,071.12 and 510.63

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Solution

The fourth proportional to 775.90, 1,071.12 and 510.63 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.90 : 1,071.12 = 510.63 : x
  2. Step 2: Convert to fraction form
    775.90/1,071.12 = 510.63/x
  3. Step 3: Cross multiply
    775.90x = 1,071.12 × 510.63
  4. Step 4: Simplify right side
    775.90x = 546,946.01
  5. Step 5: Solve for x
    x = 546,946.01/775.90
  6. Step 6: Final answer
    x = 704.92

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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.