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Finding the Fourth Proportional to 1,117.44, 1,676.40 and 707.04

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Solution

The fourth proportional to 1,117.44, 1,676.40 and 707.04 is: 1,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.44 : 1,676.40 = 707.04 : x
  2. Step 2: Convert to fraction form
    1,117.44/1,676.40 = 707.04/x
  3. Step 3: Cross multiply
    1,117.44x = 1,676.40 × 707.04
  4. Step 4: Simplify right side
    1,117.44x = 1,185,281.86
  5. Step 5: Solve for x
    x = 1,185,281.86/1,117.44
  6. Step 6: Final answer
    x = 1,060.71

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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.