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Finding the Fourth Proportional to 779.16, 1,075.23 and 429.84

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Solution

The fourth proportional to 779.16, 1,075.23 and 429.84 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,075.23 = 429.84 : x
  2. Step 2: Convert to fraction form
    779.16/1,075.23 = 429.84/x
  3. Step 3: Cross multiply
    779.16x = 1,075.23 × 429.84
  4. Step 4: Simplify right side
    779.16x = 462,176.86
  5. Step 5: Solve for x
    x = 462,176.86/779.16
  6. Step 6: Final answer
    x = 593.17

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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.