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Finding the Fourth Proportional to 779.58, 1,075.51 and 499.75

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Solution

The fourth proportional to 779.58, 1,075.51 and 499.75 is: 689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.58 : 1,075.51 = 499.75 : x
  2. Step 2: Convert to fraction form
    779.58/1,075.51 = 499.75/x
  3. Step 3: Cross multiply
    779.58x = 1,075.51 × 499.75
  4. Step 4: Simplify right side
    779.58x = 537,486.12
  5. Step 5: Solve for x
    x = 537,486.12/779.58
  6. Step 6: Final answer
    x = 689.46

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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.