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Finding the Fourth Proportional to 774.96, 1,070.67 and 589.08

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Solution

The fourth proportional to 774.96, 1,070.67 and 589.08 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.96 : 1,070.67 = 589.08 : x
  2. Step 2: Convert to fraction form
    774.96/1,070.67 = 589.08/x
  3. Step 3: Cross multiply
    774.96x = 1,070.67 × 589.08
  4. Step 4: Simplify right side
    774.96x = 630,710.28
  5. Step 5: Solve for x
    x = 630,710.28/774.96
  6. Step 6: Final answer
    x = 813.86

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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.