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Finding the Fourth Proportional to 1,188.36, 1,780.12 and 570.18

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Solution

The fourth proportional to 1,188.36, 1,780.12 and 570.18 is: 854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.36 : 1,780.12 = 570.18 : x
  2. Step 2: Convert to fraction form
    1,188.36/1,780.12 = 570.18/x
  3. Step 3: Cross multiply
    1,188.36x = 1,780.12 × 570.18
  4. Step 4: Simplify right side
    1,188.36x = 1,014,988.82
  5. Step 5: Solve for x
    x = 1,014,988.82/1,188.36
  6. Step 6: Final answer
    x = 854.11

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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.