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Finding the Fourth Proportional to 1,201.60, 1,802.40 and 553.60

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Solution

The fourth proportional to 1,201.60, 1,802.40 and 553.60 is: 830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.60 : 1,802.40 = 553.60 : x
  2. Step 2: Convert to fraction form
    1,201.60/1,802.40 = 553.60/x
  3. Step 3: Cross multiply
    1,201.60x = 1,802.40 × 553.60
  4. Step 4: Simplify right side
    1,201.60x = 997,808.64
  5. Step 5: Solve for x
    x = 997,808.64/1,201.60
  6. Step 6: Final answer
    x = 830.40

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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.