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Finding the Fourth Proportional to 699.04, 1,048.14 and 596.35

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Solution

The fourth proportional to 699.04, 1,048.14 and 596.35 is: 894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.04 : 1,048.14 = 596.35 : x
  2. Step 2: Convert to fraction form
    699.04/1,048.14 = 596.35/x
  3. Step 3: Cross multiply
    699.04x = 1,048.14 × 596.35
  4. Step 4: Simplify right side
    699.04x = 625,058.29
  5. Step 5: Solve for x
    x = 625,058.29/699.04
  6. Step 6: Final answer
    x = 894.17

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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.