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Finding the Fourth Proportional to 775.86, 1,070.10 and 513.42

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Solution

The fourth proportional to 775.86, 1,070.10 and 513.42 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,070.10 = 513.42 : x
  2. Step 2: Convert to fraction form
    775.86/1,070.10 = 513.42/x
  3. Step 3: Cross multiply
    775.86x = 1,070.10 × 513.42
  4. Step 4: Simplify right side
    775.86x = 549,410.74
  5. Step 5: Solve for x
    x = 549,410.74/775.86
  6. Step 6: Final answer
    x = 708.13

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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.