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Finding the Fourth Proportional to 1,158.57, 1,598.74 and 634.57

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Solution

The fourth proportional to 1,158.57, 1,598.74 and 634.57 is: 875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.57 : 1,598.74 = 634.57 : x
  2. Step 2: Convert to fraction form
    1,158.57/1,598.74 = 634.57/x
  3. Step 3: Cross multiply
    1,158.57x = 1,598.74 × 634.57
  4. Step 4: Simplify right side
    1,158.57x = 1,014,506.86
  5. Step 5: Solve for x
    x = 1,014,506.86/1,158.57
  6. Step 6: Final answer
    x = 875.65

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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.