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Finding the Fourth Proportional to 907.41, 1,358.66 and 594.28

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Solution

The fourth proportional to 907.41, 1,358.66 and 594.28 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.41 : 1,358.66 = 594.28 : x
  2. Step 2: Convert to fraction form
    907.41/1,358.66 = 594.28/x
  3. Step 3: Cross multiply
    907.41x = 1,358.66 × 594.28
  4. Step 4: Simplify right side
    907.41x = 807,424.46
  5. Step 5: Solve for x
    x = 807,424.46/907.41
  6. Step 6: Final answer
    x = 889.81

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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.