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Finding the Fourth Proportional to 1,042.84, 1,560.56 and 907.36

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Solution

The fourth proportional to 1,042.84, 1,560.56 and 907.36 is: 1,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.84 : 1,560.56 = 907.36 : x
  2. Step 2: Convert to fraction form
    1,042.84/1,560.56 = 907.36/x
  3. Step 3: Cross multiply
    1,042.84x = 1,560.56 × 907.36
  4. Step 4: Simplify right side
    1,042.84x = 1,415,989.72
  5. Step 5: Solve for x
    x = 1,415,989.72/1,042.84
  6. Step 6: Final answer
    x = 1,357.82

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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.