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Finding the Fourth Proportional to 1,187.16, 1,781.34 and 529.23

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Solution

The fourth proportional to 1,187.16, 1,781.34 and 529.23 is: 794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.16 : 1,781.34 = 529.23 : x
  2. Step 2: Convert to fraction form
    1,187.16/1,781.34 = 529.23/x
  3. Step 3: Cross multiply
    1,187.16x = 1,781.34 × 529.23
  4. Step 4: Simplify right side
    1,187.16x = 942,746.24
  5. Step 5: Solve for x
    x = 942,746.24/1,187.16
  6. Step 6: Final answer
    x = 794.12

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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.