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Finding the Fourth Proportional to 830.10, 1,245.15 and 570.90

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Solution

The fourth proportional to 830.10, 1,245.15 and 570.90 is: 856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.10 : 1,245.15 = 570.90 : x
  2. Step 2: Convert to fraction form
    830.10/1,245.15 = 570.90/x
  3. Step 3: Cross multiply
    830.10x = 1,245.15 × 570.90
  4. Step 4: Simplify right side
    830.10x = 710,856.14
  5. Step 5: Solve for x
    x = 710,856.14/830.10
  6. Step 6: Final answer
    x = 856.35

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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.