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Finding the Fourth Proportional to 1,043.68, 1,565.52 and 718.06

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Solution

The fourth proportional to 1,043.68, 1,565.52 and 718.06 is: 1,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.68 : 1,565.52 = 718.06 : x
  2. Step 2: Convert to fraction form
    1,043.68/1,565.52 = 718.06/x
  3. Step 3: Cross multiply
    1,043.68x = 1,565.52 × 718.06
  4. Step 4: Simplify right side
    1,043.68x = 1,124,137.29
  5. Step 5: Solve for x
    x = 1,124,137.29/1,043.68
  6. Step 6: Final answer
    x = 1,077.09

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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.