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Finding the Fourth Proportional to 1,652.64, 2,478.93 and 678.06

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Solution

The fourth proportional to 1,652.64, 2,478.93 and 678.06 is: 1,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.64 : 2,478.93 = 678.06 : x
  2. Step 2: Convert to fraction form
    1,652.64/2,478.93 = 678.06/x
  3. Step 3: Cross multiply
    1,652.64x = 2,478.93 × 678.06
  4. Step 4: Simplify right side
    1,652.64x = 1,680,863.28
  5. Step 5: Solve for x
    x = 1,680,863.28/1,652.64
  6. Step 6: Final answer
    x = 1,017.08

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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.