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Finding the Fourth Proportional to 935.76, 1,403.40 and 569.28

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Solution

The fourth proportional to 935.76, 1,403.40 and 569.28 is: 853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.76 : 1,403.40 = 569.28 : x
  2. Step 2: Convert to fraction form
    935.76/1,403.40 = 569.28/x
  3. Step 3: Cross multiply
    935.76x = 1,403.40 × 569.28
  4. Step 4: Simplify right side
    935.76x = 798,927.55
  5. Step 5: Solve for x
    x = 798,927.55/935.76
  6. Step 6: Final answer
    x = 853.77

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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.