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Finding the Fourth Proportional to 1,065.48, 1,596.13 and 699.15

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Solution

The fourth proportional to 1,065.48, 1,596.13 and 699.15 is: 1,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.48 : 1,596.13 = 699.15 : x
  2. Step 2: Convert to fraction form
    1,065.48/1,596.13 = 699.15/x
  3. Step 3: Cross multiply
    1,065.48x = 1,596.13 × 699.15
  4. Step 4: Simplify right side
    1,065.48x = 1,115,934.29
  5. Step 5: Solve for x
    x = 1,115,934.29/1,065.48
  6. Step 6: Final answer
    x = 1,047.35

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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.