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Finding the Fourth Proportional to 1,158.60, 1,598.91 and 634.63

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Solution

The fourth proportional to 1,158.60, 1,598.91 and 634.63 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.60 : 1,598.91 = 634.63 : x
  2. Step 2: Convert to fraction form
    1,158.60/1,598.91 = 634.63/x
  3. Step 3: Cross multiply
    1,158.60x = 1,598.91 × 634.63
  4. Step 4: Simplify right side
    1,158.60x = 1,014,716.25
  5. Step 5: Solve for x
    x = 1,014,716.25/1,158.60
  6. Step 6: Final answer
    x = 875.81

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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.