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Finding the Fourth Proportional to 1,014.93, 1,400.72 and 595.35

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Solution

The fourth proportional to 1,014.93, 1,400.72 and 595.35 is: 821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.93 : 1,400.72 = 595.35 : x
  2. Step 2: Convert to fraction form
    1,014.93/1,400.72 = 595.35/x
  3. Step 3: Cross multiply
    1,014.93x = 1,400.72 × 595.35
  4. Step 4: Simplify right side
    1,014.93x = 833,915.68
  5. Step 5: Solve for x
    x = 833,915.68/1,014.93
  6. Step 6: Final answer
    x = 821.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.