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Finding the Fourth Proportional to 1,033.03, 1,425.58 and 560.93

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Solution

The fourth proportional to 1,033.03, 1,425.58 and 560.93 is: 774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.03 : 1,425.58 = 560.93 : x
  2. Step 2: Convert to fraction form
    1,033.03/1,425.58 = 560.93/x
  3. Step 3: Cross multiply
    1,033.03x = 1,425.58 × 560.93
  4. Step 4: Simplify right side
    1,033.03x = 799,644.16
  5. Step 5: Solve for x
    x = 799,644.16/1,033.03
  6. Step 6: Final answer
    x = 774.08

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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.