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Finding the Fourth Proportional to 1,118.06, 1,678.10 and 570.62

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Solution

The fourth proportional to 1,118.06, 1,678.10 and 570.62 is: 856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.06 : 1,678.10 = 570.62 : x
  2. Step 2: Convert to fraction form
    1,118.06/1,678.10 = 570.62/x
  3. Step 3: Cross multiply
    1,118.06x = 1,678.10 × 570.62
  4. Step 4: Simplify right side
    1,118.06x = 957,557.42
  5. Step 5: Solve for x
    x = 957,557.42/1,118.06
  6. Step 6: Final answer
    x = 856.45

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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.