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Finding the Fourth Proportional to 1,159.10, 1,599.63 and 761

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Solution

The fourth proportional to 1,159.10, 1,599.63 and 761 is: 1,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.10 : 1,599.63 = 761 : x
  2. Step 2: Convert to fraction form
    1,159.10/1,599.63 = 761/x
  3. Step 3: Cross multiply
    1,159.10x = 1,599.63 × 761
  4. Step 4: Simplify right side
    1,159.10x = 1,217,318.43
  5. Step 5: Solve for x
    x = 1,217,318.43/1,159.10
  6. Step 6: Final answer
    x = 1,050.23

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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.