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Finding the Fourth Proportional to 1,164.84, 1,746.26 and 470.76

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Solution

The fourth proportional to 1,164.84, 1,746.26 and 470.76 is: 705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.84 : 1,746.26 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,164.84/1,746.26 = 470.76/x
  3. Step 3: Cross multiply
    1,164.84x = 1,746.26 × 470.76
  4. Step 4: Simplify right side
    1,164.84x = 822,069.36
  5. Step 5: Solve for x
    x = 822,069.36/1,164.84
  6. Step 6: Final answer
    x = 705.74

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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.