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Finding the Fourth Proportional to 703.01, 1,051.99 and 508.23

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Solution

The fourth proportional to 703.01, 1,051.99 and 508.23 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.01 : 1,051.99 = 508.23 : x
  2. Step 2: Convert to fraction form
    703.01/1,051.99 = 508.23/x
  3. Step 3: Cross multiply
    703.01x = 1,051.99 × 508.23
  4. Step 4: Simplify right side
    703.01x = 534,651.61
  5. Step 5: Solve for x
    x = 534,651.61/703.01
  6. Step 6: Final answer
    x = 760.52

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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.