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Finding the Fourth Proportional to 935.70, 1,403.55 and 570.30

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Solution

The fourth proportional to 935.70, 1,403.55 and 570.30 is: 855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.70 : 1,403.55 = 570.30 : x
  2. Step 2: Convert to fraction form
    935.70/1,403.55 = 570.30/x
  3. Step 3: Cross multiply
    935.70x = 1,403.55 × 570.30
  4. Step 4: Simplify right side
    935.70x = 800,444.57
  5. Step 5: Solve for x
    x = 800,444.57/935.70
  6. Step 6: Final answer
    x = 855.45

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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.