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Finding the Fourth Proportional to 1,014.96, 1,400.14 and 595.32

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Solution

The fourth proportional to 1,014.96, 1,400.14 and 595.32 is: 821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.96 : 1,400.14 = 595.32 : x
  2. Step 2: Convert to fraction form
    1,014.96/1,400.14 = 595.32/x
  3. Step 3: Cross multiply
    1,014.96x = 1,400.14 × 595.32
  4. Step 4: Simplify right side
    1,014.96x = 833,531.34
  5. Step 5: Solve for x
    x = 833,531.34/1,014.96
  6. Step 6: Final answer
    x = 821.25

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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.