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Finding the Fourth Proportional to 707.76, 977.40 and 592.56

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Solution

The fourth proportional to 707.76, 977.40 and 592.56 is: 818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 977.40 = 592.56 : x
  2. Step 2: Convert to fraction form
    707.76/977.40 = 592.56/x
  3. Step 3: Cross multiply
    707.76x = 977.40 × 592.56
  4. Step 4: Simplify right side
    707.76x = 579,168.14
  5. Step 5: Solve for x
    x = 579,168.14/707.76
  6. Step 6: Final answer
    x = 818.31

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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.