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Finding the Fourth Proportional to 717.86, 1,075.16 and 588.26

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Solution

The fourth proportional to 717.86, 1,075.16 and 588.26 is: 881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.86 : 1,075.16 = 588.26 : x
  2. Step 2: Convert to fraction form
    717.86/1,075.16 = 588.26/x
  3. Step 3: Cross multiply
    717.86x = 1,075.16 × 588.26
  4. Step 4: Simplify right side
    717.86x = 632,473.62
  5. Step 5: Solve for x
    x = 632,473.62/717.86
  6. Step 6: Final answer
    x = 881.05

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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.