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Finding the Fourth Proportional to 859.04, 1,185.12 and 509.72

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Solution

The fourth proportional to 859.04, 1,185.12 and 509.72 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.04 : 1,185.12 = 509.72 : x
  2. Step 2: Convert to fraction form
    859.04/1,185.12 = 509.72/x
  3. Step 3: Cross multiply
    859.04x = 1,185.12 × 509.72
  4. Step 4: Simplify right side
    859.04x = 604,079.37
  5. Step 5: Solve for x
    x = 604,079.37/859.04
  6. Step 6: Final answer
    x = 703.20

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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.