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Finding the Fourth Proportional to 1,055.04, 1,581.76 and 469.84

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Solution

The fourth proportional to 1,055.04, 1,581.76 and 469.84 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.04 : 1,581.76 = 469.84 : x
  2. Step 2: Convert to fraction form
    1,055.04/1,581.76 = 469.84/x
  3. Step 3: Cross multiply
    1,055.04x = 1,581.76 × 469.84
  4. Step 4: Simplify right side
    1,055.04x = 743,174.12
  5. Step 5: Solve for x
    x = 743,174.12/1,055.04
  6. Step 6: Final answer
    x = 704.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.