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Finding the Fourth Proportional to 775.78, 1,070.13 and 465.10

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Solution

The fourth proportional to 775.78, 1,070.13 and 465.10 is: 641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.78 : 1,070.13 = 465.10 : x
  2. Step 2: Convert to fraction form
    775.78/1,070.13 = 465.10/x
  3. Step 3: Cross multiply
    775.78x = 1,070.13 × 465.10
  4. Step 4: Simplify right side
    775.78x = 497,717.46
  5. Step 5: Solve for x
    x = 497,717.46/775.78
  6. Step 6: Final answer
    x = 641.57

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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.