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Finding the Fourth Proportional to 707.92, 1,055.98 and 593.10

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Solution

The fourth proportional to 707.92, 1,055.98 and 593.10 is: 884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 1,055.98 = 593.10 : x
  2. Step 2: Convert to fraction form
    707.92/1,055.98 = 593.10/x
  3. Step 3: Cross multiply
    707.92x = 1,055.98 × 593.10
  4. Step 4: Simplify right side
    707.92x = 626,301.74
  5. Step 5: Solve for x
    x = 626,301.74/707.92
  6. Step 6: Final answer
    x = 884.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.