Home / 1,164.04-1,746.76-470.80

Finding the Fourth Proportional to 1,164.04, 1,746.76 and 470.80

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Solution

The fourth proportional to 1,164.04, 1,746.76 and 470.80 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,746.76 = 470.80 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,746.76 = 470.80/x
  3. Step 3: Cross multiply
    1,164.04x = 1,746.76 × 470.80
  4. Step 4: Simplify right side
    1,164.04x = 822,374.61
  5. Step 5: Solve for x
    x = 822,374.61/1,164.04
  6. Step 6: Final answer
    x = 706.48

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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.