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Finding the Fourth Proportional to 1,117.58, 1,676.58 and 655.42

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Solution

The fourth proportional to 1,117.58, 1,676.58 and 655.42 is: 983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.58 : 1,676.58 = 655.42 : x
  2. Step 2: Convert to fraction form
    1,117.58/1,676.58 = 655.42/x
  3. Step 3: Cross multiply
    1,117.58x = 1,676.58 × 655.42
  4. Step 4: Simplify right side
    1,117.58x = 1,098,864.06
  5. Step 5: Solve for x
    x = 1,098,864.06/1,117.58
  6. Step 6: Final answer
    x = 983.25

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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.