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Finding the Fourth Proportional to 710.88, 1,064.13 and 538.20

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Solution

The fourth proportional to 710.88, 1,064.13 and 538.20 is: 805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.88 : 1,064.13 = 538.20 : x
  2. Step 2: Convert to fraction form
    710.88/1,064.13 = 538.20/x
  3. Step 3: Cross multiply
    710.88x = 1,064.13 × 538.20
  4. Step 4: Simplify right side
    710.88x = 572,714.77
  5. Step 5: Solve for x
    x = 572,714.77/710.88
  6. Step 6: Final answer
    x = 805.64

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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.