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Finding the Fourth Proportional to 1,130.42, 1,560.03 and 633.04

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Solution

The fourth proportional to 1,130.42, 1,560.03 and 633.04 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.42 : 1,560.03 = 633.04 : x
  2. Step 2: Convert to fraction form
    1,130.42/1,560.03 = 633.04/x
  3. Step 3: Cross multiply
    1,130.42x = 1,560.03 × 633.04
  4. Step 4: Simplify right side
    1,130.42x = 987,555.12
  5. Step 5: Solve for x
    x = 987,555.12/1,130.42
  6. Step 6: Final answer
    x = 873.62

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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.