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Finding the Fourth Proportional to 1,159.64, 1,600.33 and 635.67

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Solution

The fourth proportional to 1,159.64, 1,600.33 and 635.67 is: 877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.64 : 1,600.33 = 635.67 : x
  2. Step 2: Convert to fraction form
    1,159.64/1,600.33 = 635.67/x
  3. Step 3: Cross multiply
    1,159.64x = 1,600.33 × 635.67
  4. Step 4: Simplify right side
    1,159.64x = 1,017,280.18
  5. Step 5: Solve for x
    x = 1,017,280.18/1,159.64
  6. Step 6: Final answer
    x = 877.24

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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.