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Finding the Fourth Proportional to 1,126.65, 1,690.58 and 510.30

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Solution

The fourth proportional to 1,126.65, 1,690.58 and 510.30 is: 765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.65 : 1,690.58 = 510.30 : x
  2. Step 2: Convert to fraction form
    1,126.65/1,690.58 = 510.30/x
  3. Step 3: Cross multiply
    1,126.65x = 1,690.58 × 510.30
  4. Step 4: Simplify right side
    1,126.65x = 862,710.59
  5. Step 5: Solve for x
    x = 862,710.59/1,126.65
  6. Step 6: Final answer
    x = 765.73

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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.