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Finding the Fourth Proportional to 1,143.56, 1,714.12 and 595.19

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Solution

The fourth proportional to 1,143.56, 1,714.12 and 595.19 is: 892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,714.12 = 595.19 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,714.12 = 595.19/x
  3. Step 3: Cross multiply
    1,143.56x = 1,714.12 × 595.19
  4. Step 4: Simplify right side
    1,143.56x = 1,020,227.08
  5. Step 5: Solve for x
    x = 1,020,227.08/1,143.56
  6. Step 6: Final answer
    x = 892.15

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1.5x scale

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.