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Finding the Fourth Proportional to 935.02, 1,402.80 and 587.80

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Solution

The fourth proportional to 935.02, 1,402.80 and 587.80 is: 881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.02 : 1,402.80 = 587.80 : x
  2. Step 2: Convert to fraction form
    935.02/1,402.80 = 587.80/x
  3. Step 3: Cross multiply
    935.02x = 1,402.80 × 587.80
  4. Step 4: Simplify right side
    935.02x = 824,565.84
  5. Step 5: Solve for x
    x = 824,565.84/935.02
  6. Step 6: Final answer
    x = 881.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.