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Finding the Fourth Proportional to 1,013.65, 1,398.75 and 571.60

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Solution

The fourth proportional to 1,013.65, 1,398.75 and 571.60 is: 788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.65 : 1,398.75 = 571.60 : x
  2. Step 2: Convert to fraction form
    1,013.65/1,398.75 = 571.60/x
  3. Step 3: Cross multiply
    1,013.65x = 1,398.75 × 571.60
  4. Step 4: Simplify right side
    1,013.65x = 799,525.50
  5. Step 5: Solve for x
    x = 799,525.50/1,013.65
  6. Step 6: Final answer
    x = 788.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.