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Finding the Fourth Proportional to 707.04, 1,060.74 and 521.64

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Solution

The fourth proportional to 707.04, 1,060.74 and 521.64 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 1,060.74 = 521.64 : x
  2. Step 2: Convert to fraction form
    707.04/1,060.74 = 521.64/x
  3. Step 3: Cross multiply
    707.04x = 1,060.74 × 521.64
  4. Step 4: Simplify right side
    707.04x = 553,324.41
  5. Step 5: Solve for x
    x = 553,324.41/707.04
  6. Step 6: Final answer
    x = 782.59

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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.