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Finding the Fourth Proportional to 1,159.66, 1,739.69 and 510.38

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Solution

The fourth proportional to 1,159.66, 1,739.69 and 510.38 is: 765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.66 : 1,739.69 = 510.38 : x
  2. Step 2: Convert to fraction form
    1,159.66/1,739.69 = 510.38/x
  3. Step 3: Cross multiply
    1,159.66x = 1,739.69 × 510.38
  4. Step 4: Simplify right side
    1,159.66x = 887,893.65
  5. Step 5: Solve for x
    x = 887,893.65/1,159.66
  6. Step 6: Final answer
    x = 765.65

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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.