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Finding the Fourth Proportional to 1,164.04, 1,746.46 and 470.86

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Solution

The fourth proportional to 1,164.04, 1,746.46 and 470.86 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,746.46 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,746.46 = 470.86/x
  3. Step 3: Cross multiply
    1,164.04x = 1,746.46 × 470.86
  4. Step 4: Simplify right side
    1,164.04x = 822,338.16
  5. Step 5: Solve for x
    x = 822,338.16/1,164.04
  6. Step 6: Final answer
    x = 706.45

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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.