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Finding the Fourth Proportional to 1,007.93, 1,390.95 and 588.57

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Solution

The fourth proportional to 1,007.93, 1,390.95 and 588.57 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.93 : 1,390.95 = 588.57 : x
  2. Step 2: Convert to fraction form
    1,007.93/1,390.95 = 588.57/x
  3. Step 3: Cross multiply
    1,007.93x = 1,390.95 × 588.57
  4. Step 4: Simplify right side
    1,007.93x = 818,671.44
  5. Step 5: Solve for x
    x = 818,671.44/1,007.93
  6. Step 6: Final answer
    x = 812.23

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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.