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Finding the Fourth Proportional to 1,014.78, 1,400.42 and 595.20

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Solution

The fourth proportional to 1,014.78, 1,400.42 and 595.20 is: 821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.78 : 1,400.42 = 595.20 : x
  2. Step 2: Convert to fraction form
    1,014.78/1,400.42 = 595.20/x
  3. Step 3: Cross multiply
    1,014.78x = 1,400.42 × 595.20
  4. Step 4: Simplify right side
    1,014.78x = 833,529.98
  5. Step 5: Solve for x
    x = 833,529.98/1,014.78
  6. Step 6: Final answer
    x = 821.39

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1.5x scale

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.