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Finding the Fourth Proportional to 1,017.00, 1,525.61 and 469.34

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Solution

The fourth proportional to 1,017.00, 1,525.61 and 469.34 is: 704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.00 : 1,525.61 = 469.34 : x
  2. Step 2: Convert to fraction form
    1,017.00/1,525.61 = 469.34/x
  3. Step 3: Cross multiply
    1,017.00x = 1,525.61 × 469.34
  4. Step 4: Simplify right side
    1,017.00x = 716,032.44
  5. Step 5: Solve for x
    x = 716,032.44/1,017.00
  6. Step 6: Final answer
    x = 704.06

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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.