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Finding the Fourth Proportional to 1,117.10, 1,676.68 and 569.69

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Solution

The fourth proportional to 1,117.10, 1,676.68 and 569.69 is: 855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.10 : 1,676.68 = 569.69 : x
  2. Step 2: Convert to fraction form
    1,117.10/1,676.68 = 569.69/x
  3. Step 3: Cross multiply
    1,117.10x = 1,676.68 × 569.69
  4. Step 4: Simplify right side
    1,117.10x = 955,187.83
  5. Step 5: Solve for x
    x = 955,187.83/1,117.10
  6. Step 6: Final answer
    x = 855.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.