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Finding the Fourth Proportional to 1,284.48, 1,925.76 and 1,056

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Solution

The fourth proportional to 1,284.48, 1,925.76 and 1,056 is: 1,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.48 : 1,925.76 = 1,056 : x
  2. Step 2: Convert to fraction form
    1,284.48/1,925.76 = 1,056/x
  3. Step 3: Cross multiply
    1,284.48x = 1,925.76 × 1,056
  4. Step 4: Simplify right side
    1,284.48x = 2,033,602.56
  5. Step 5: Solve for x
    x = 2,033,602.56/1,284.48
  6. Step 6: Final answer
    x = 1,583.21

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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.