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Finding the Fourth Proportional to 1,166.34, 1,749.90 and 646.92

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Solution

The fourth proportional to 1,166.34, 1,749.90 and 646.92 is: 970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.34 : 1,749.90 = 646.92 : x
  2. Step 2: Convert to fraction form
    1,166.34/1,749.90 = 646.92/x
  3. Step 3: Cross multiply
    1,166.34x = 1,749.90 × 646.92
  4. Step 4: Simplify right side
    1,166.34x = 1,132,045.31
  5. Step 5: Solve for x
    x = 1,132,045.31/1,166.34
  6. Step 6: Final answer
    x = 970.60

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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.