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Finding the Fourth Proportional to 1,047, 1,445.10 and 633.24

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Solution

The fourth proportional to 1,047, 1,445.10 and 633.24 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047 : 1,445.10 = 633.24 : x
  2. Step 2: Convert to fraction form
    1,047/1,445.10 = 633.24/x
  3. Step 3: Cross multiply
    1,047x = 1,445.10 × 633.24
  4. Step 4: Simplify right side
    1,047x = 915,095.12
  5. Step 5: Solve for x
    x = 915,095.12/1,047
  6. Step 6: Final answer
    x = 874.02

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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.