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Finding the Fourth Proportional to 1,007.57, 1,390.40 and 559.45

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Solution

The fourth proportional to 1,007.57, 1,390.40 and 559.45 is: 772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.57 : 1,390.40 = 559.45 : x
  2. Step 2: Convert to fraction form
    1,007.57/1,390.40 = 559.45/x
  3. Step 3: Cross multiply
    1,007.57x = 1,390.40 × 559.45
  4. Step 4: Simplify right side
    1,007.57x = 777,865.02
  5. Step 5: Solve for x
    x = 777,865.02/1,007.57
  6. Step 6: Final answer
    x = 772.02

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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.