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Finding the Fourth Proportional to 779.30, 1,075.71 and 517.40

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Solution

The fourth proportional to 779.30, 1,075.71 and 517.40 is: 714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.30 : 1,075.71 = 517.40 : x
  2. Step 2: Convert to fraction form
    779.30/1,075.71 = 517.40/x
  3. Step 3: Cross multiply
    779.30x = 1,075.71 × 517.40
  4. Step 4: Simplify right side
    779.30x = 556,566.98
  5. Step 5: Solve for x
    x = 556,566.98/779.30
  6. Step 6: Final answer
    x = 714.19

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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.