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Finding the Fourth Proportional to 1,017.04, 1,525.54 and 879.68

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Solution

The fourth proportional to 1,017.04, 1,525.54 and 879.68 is: 1,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.04 : 1,525.54 = 879.68 : x
  2. Step 2: Convert to fraction form
    1,017.04/1,525.54 = 879.68/x
  3. Step 3: Cross multiply
    1,017.04x = 1,525.54 × 879.68
  4. Step 4: Simplify right side
    1,017.04x = 1,341,987.03
  5. Step 5: Solve for x
    x = 1,341,987.03/1,017.04
  6. Step 6: Final answer
    x = 1,319.50

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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.