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Finding the Fourth Proportional to 1,689.32, 2,533.96 and 535.07

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Solution

The fourth proportional to 1,689.32, 2,533.96 and 535.07 is: 802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.32 : 2,533.96 = 535.07 : x
  2. Step 2: Convert to fraction form
    1,689.32/2,533.96 = 535.07/x
  3. Step 3: Cross multiply
    1,689.32x = 2,533.96 × 535.07
  4. Step 4: Simplify right side
    1,689.32x = 1,355,845.98
  5. Step 5: Solve for x
    x = 1,355,845.98/1,689.32
  6. Step 6: Final answer
    x = 802.60

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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.