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Finding the Fourth Proportional to 1,118.41, 1,678.66 and 570.98

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Solution

The fourth proportional to 1,118.41, 1,678.66 and 570.98 is: 857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.41 : 1,678.66 = 570.98 : x
  2. Step 2: Convert to fraction form
    1,118.41/1,678.66 = 570.98/x
  3. Step 3: Cross multiply
    1,118.41x = 1,678.66 × 570.98
  4. Step 4: Simplify right side
    1,118.41x = 958,484.06
  5. Step 5: Solve for x
    x = 958,484.06/1,118.41
  6. Step 6: Final answer
    x = 857.01

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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.