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Finding the Fourth Proportional to 1,060.04, 1,589.08 and 511.64

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Solution

The fourth proportional to 1,060.04, 1,589.08 and 511.64 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.04 : 1,589.08 = 511.64 : x
  2. Step 2: Convert to fraction form
    1,060.04/1,589.08 = 511.64/x
  3. Step 3: Cross multiply
    1,060.04x = 1,589.08 × 511.64
  4. Step 4: Simplify right side
    1,060.04x = 813,036.89
  5. Step 5: Solve for x
    x = 813,036.89/1,060.04
  6. Step 6: Final answer
    x = 766.99

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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.