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Finding the Fourth Proportional to 772.04, 1,156.98 and 407

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Solution

The fourth proportional to 772.04, 1,156.98 and 407 is: 609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,156.98 = 407 : x
  2. Step 2: Convert to fraction form
    772.04/1,156.98 = 407/x
  3. Step 3: Cross multiply
    772.04x = 1,156.98 × 407
  4. Step 4: Simplify right side
    772.04x = 470,890.86
  5. Step 5: Solve for x
    x = 470,890.86/772.04
  6. Step 6: Final answer
    x = 609.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.