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Finding the Fourth Proportional to 1,165.10, 1,746.02 and 645.34

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Solution

The fourth proportional to 1,165.10, 1,746.02 and 645.34 is: 967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.10 : 1,746.02 = 645.34 : x
  2. Step 2: Convert to fraction form
    1,165.10/1,746.02 = 645.34/x
  3. Step 3: Cross multiply
    1,165.10x = 1,746.02 × 645.34
  4. Step 4: Simplify right side
    1,165.10x = 1,126,776.55
  5. Step 5: Solve for x
    x = 1,126,776.55/1,165.10
  6. Step 6: Final answer
    x = 967.11

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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.