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Finding the Fourth Proportional to 1,059.15, 1,461.62 and 587.13

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Solution

The fourth proportional to 1,059.15, 1,461.62 and 587.13 is: 810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.15 : 1,461.62 = 587.13 : x
  2. Step 2: Convert to fraction form
    1,059.15/1,461.62 = 587.13/x
  3. Step 3: Cross multiply
    1,059.15x = 1,461.62 × 587.13
  4. Step 4: Simplify right side
    1,059.15x = 858,158.01
  5. Step 5: Solve for x
    x = 858,158.01/1,059.15
  6. Step 6: Final answer
    x = 810.23

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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.