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Finding the Fourth Proportional to 707.61, 977.13 and 442.52

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Solution

The fourth proportional to 707.61, 977.13 and 442.52 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.61 : 977.13 = 442.52 : x
  2. Step 2: Convert to fraction form
    707.61/977.13 = 442.52/x
  3. Step 3: Cross multiply
    707.61x = 977.13 × 442.52
  4. Step 4: Simplify right side
    707.61x = 432,394.68
  5. Step 5: Solve for x
    x = 432,394.68/707.61
  6. Step 6: Final answer
    x = 611.06

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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.