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Finding the Fourth Proportional to 1,009.02, 1,513.53 and 278.63

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Solution

The fourth proportional to 1,009.02, 1,513.53 and 278.63 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.02 : 1,513.53 = 278.63 : x
  2. Step 2: Convert to fraction form
    1,009.02/1,513.53 = 278.63/x
  3. Step 3: Cross multiply
    1,009.02x = 1,513.53 × 278.63
  4. Step 4: Simplify right side
    1,009.02x = 421,714.86
  5. Step 5: Solve for x
    x = 421,714.86/1,009.02
  6. Step 6: Final answer
    x = 417.95

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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.