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Finding the Fourth Proportional to 1,158.08, 1,599.93 and 893.59

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Solution

The fourth proportional to 1,158.08, 1,599.93 and 893.59 is: 1,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.08 : 1,599.93 = 893.59 : x
  2. Step 2: Convert to fraction form
    1,158.08/1,599.93 = 893.59/x
  3. Step 3: Cross multiply
    1,158.08x = 1,599.93 × 893.59
  4. Step 4: Simplify right side
    1,158.08x = 1,429,686.19
  5. Step 5: Solve for x
    x = 1,429,686.19/1,158.08
  6. Step 6: Final answer
    x = 1,234.53

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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.