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Finding the Fourth Proportional to 1,533.17, 2,300.22 and 802.34

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Solution

The fourth proportional to 1,533.17, 2,300.22 and 802.34 is: 1,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.17 : 2,300.22 = 802.34 : x
  2. Step 2: Convert to fraction form
    1,533.17/2,300.22 = 802.34/x
  3. Step 3: Cross multiply
    1,533.17x = 2,300.22 × 802.34
  4. Step 4: Simplify right side
    1,533.17x = 1,845,558.51
  5. Step 5: Solve for x
    x = 1,845,558.51/1,533.17
  6. Step 6: Final answer
    x = 1,203.75

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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.