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Finding the Fourth Proportional to 870.99, 1,307.03 and 294.27

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Solution

The fourth proportional to 870.99, 1,307.03 and 294.27 is: 441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.99 : 1,307.03 = 294.27 : x
  2. Step 2: Convert to fraction form
    870.99/1,307.03 = 294.27/x
  3. Step 3: Cross multiply
    870.99x = 1,307.03 × 294.27
  4. Step 4: Simplify right side
    870.99x = 384,618.25
  5. Step 5: Solve for x
    x = 384,618.25/870.99
  6. Step 6: Final answer
    x = 441.59

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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.