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Finding the Fourth Proportional to 974.04, 1,460.35 and 535.50

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Solution

The fourth proportional to 974.04, 1,460.35 and 535.50 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.04 : 1,460.35 = 535.50 : x
  2. Step 2: Convert to fraction form
    974.04/1,460.35 = 535.50/x
  3. Step 3: Cross multiply
    974.04x = 1,460.35 × 535.50
  4. Step 4: Simplify right side
    974.04x = 782,017.43
  5. Step 5: Solve for x
    x = 782,017.43/974.04
  6. Step 6: Final answer
    x = 802.86

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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.