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Finding the Fourth Proportional to 1,400.64, 2,099.76 and 535.56

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Solution

The fourth proportional to 1,400.64, 2,099.76 and 535.56 is: 802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.64 : 2,099.76 = 535.56 : x
  2. Step 2: Convert to fraction form
    1,400.64/2,099.76 = 535.56/x
  3. Step 3: Cross multiply
    1,400.64x = 2,099.76 × 535.56
  4. Step 4: Simplify right side
    1,400.64x = 1,124,547.47
  5. Step 5: Solve for x
    x = 1,124,547.47/1,400.64
  6. Step 6: Final answer
    x = 802.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.