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Finding the Fourth Proportional to 1,445.53, 2,167.20 and 508.23

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Solution

The fourth proportional to 1,445.53, 2,167.20 and 508.23 is: 761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.53 : 2,167.20 = 508.23 : x
  2. Step 2: Convert to fraction form
    1,445.53/2,167.20 = 508.23/x
  3. Step 3: Cross multiply
    1,445.53x = 2,167.20 × 508.23
  4. Step 4: Simplify right side
    1,445.53x = 1,101,436.06
  5. Step 5: Solve for x
    x = 1,101,436.06/1,445.53
  6. Step 6: Final answer
    x = 761.96

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1.5x scale

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.