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Finding the Fourth Proportional to 1,402.49, 2,102.90 and 580.32

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Solution

The fourth proportional to 1,402.49, 2,102.90 and 580.32 is: 870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.49 : 2,102.90 = 580.32 : x
  2. Step 2: Convert to fraction form
    1,402.49/2,102.90 = 580.32/x
  3. Step 3: Cross multiply
    1,402.49x = 2,102.90 × 580.32
  4. Step 4: Simplify right side
    1,402.49x = 1,220,345.43
  5. Step 5: Solve for x
    x = 1,220,345.43/1,402.49
  6. Step 6: Final answer
    x = 870.13

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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.