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Finding the Fourth Proportional to 1,004.20, 1,506.08 and 587.45

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Solution

The fourth proportional to 1,004.20, 1,506.08 and 587.45 is: 881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.20 : 1,506.08 = 587.45 : x
  2. Step 2: Convert to fraction form
    1,004.20/1,506.08 = 587.45/x
  3. Step 3: Cross multiply
    1,004.20x = 1,506.08 × 587.45
  4. Step 4: Simplify right side
    1,004.20x = 884,751.93
  5. Step 5: Solve for x
    x = 884,751.93/1,004.20
  6. Step 6: Final answer
    x = 881.05

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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.