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Finding the Fourth Proportional to 1,428.24, 1,970.88 and 807.24

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Solution

The fourth proportional to 1,428.24, 1,970.88 and 807.24 is: 1,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.24 : 1,970.88 = 807.24 : x
  2. Step 2: Convert to fraction form
    1,428.24/1,970.88 = 807.24/x
  3. Step 3: Cross multiply
    1,428.24x = 1,970.88 × 807.24
  4. Step 4: Simplify right side
    1,428.24x = 1,590,973.17
  5. Step 5: Solve for x
    x = 1,590,973.17/1,428.24
  6. Step 6: Final answer
    x = 1,113.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.