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Finding the Fourth Proportional to 1,118.10, 1,676.47 and 501.69

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Solution

The fourth proportional to 1,118.10, 1,676.47 and 501.69 is: 752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.10 : 1,676.47 = 501.69 : x
  2. Step 2: Convert to fraction form
    1,118.10/1,676.47 = 501.69/x
  3. Step 3: Cross multiply
    1,118.10x = 1,676.47 × 501.69
  4. Step 4: Simplify right side
    1,118.10x = 841,068.23
  5. Step 5: Solve for x
    x = 841,068.23/1,118.10
  6. Step 6: Final answer
    x = 752.23

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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.