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Finding the Fourth Proportional to 1,117.04, 1,676.12 and 501.19

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Solution

The fourth proportional to 1,117.04, 1,676.12 and 501.19 is: 752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.04 : 1,676.12 = 501.19 : x
  2. Step 2: Convert to fraction form
    1,117.04/1,676.12 = 501.19/x
  3. Step 3: Cross multiply
    1,117.04x = 1,676.12 × 501.19
  4. Step 4: Simplify right side
    1,117.04x = 840,051.65
  5. Step 5: Solve for x
    x = 840,051.65/1,117.04
  6. Step 6: Final answer
    x = 752.03

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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.