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Finding the Fourth Proportional to 830.71, 1,146.31 and 595

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Solution

The fourth proportional to 830.71, 1,146.31 and 595 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.71 : 1,146.31 = 595 : x
  2. Step 2: Convert to fraction form
    830.71/1,146.31 = 595/x
  3. Step 3: Cross multiply
    830.71x = 1,146.31 × 595
  4. Step 4: Simplify right side
    830.71x = 682,054.45
  5. Step 5: Solve for x
    x = 682,054.45/830.71
  6. Step 6: Final answer
    x = 821.05

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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.