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Finding the Fourth Proportional to 1,048.59, 1,574.42 and 587.27

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Solution

The fourth proportional to 1,048.59, 1,574.42 and 587.27 is: 881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.59 : 1,574.42 = 587.27 : x
  2. Step 2: Convert to fraction form
    1,048.59/1,574.42 = 587.27/x
  3. Step 3: Cross multiply
    1,048.59x = 1,574.42 × 587.27
  4. Step 4: Simplify right side
    1,048.59x = 924,609.63
  5. Step 5: Solve for x
    x = 924,609.63/1,048.59
  6. Step 6: Final answer
    x = 881.76

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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.