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Finding the Fourth Proportional to 1,164.18, 1,746.47 and 579.21

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Solution

The fourth proportional to 1,164.18, 1,746.47 and 579.21 is: 868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.18 : 1,746.47 = 579.21 : x
  2. Step 2: Convert to fraction form
    1,164.18/1,746.47 = 579.21/x
  3. Step 3: Cross multiply
    1,164.18x = 1,746.47 × 579.21
  4. Step 4: Simplify right side
    1,164.18x = 1,011,572.89
  5. Step 5: Solve for x
    x = 1,011,572.89/1,164.18
  6. Step 6: Final answer
    x = 868.91

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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.