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Finding the Fourth Proportional to 1,014.64, 1,521.76 and 284.02

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Solution

The fourth proportional to 1,014.64, 1,521.76 and 284.02 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.64 : 1,521.76 = 284.02 : x
  2. Step 2: Convert to fraction form
    1,014.64/1,521.76 = 284.02/x
  3. Step 3: Cross multiply
    1,014.64x = 1,521.76 × 284.02
  4. Step 4: Simplify right side
    1,014.64x = 432,210.28
  5. Step 5: Solve for x
    x = 432,210.28/1,014.64
  6. Step 6: Final answer
    x = 425.97

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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.