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Finding the Fourth Proportional to 945.74, 1,417.29 and 714.44

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Solution

The fourth proportional to 945.74, 1,417.29 and 714.44 is: 1,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.74 : 1,417.29 = 714.44 : x
  2. Step 2: Convert to fraction form
    945.74/1,417.29 = 714.44/x
  3. Step 3: Cross multiply
    945.74x = 1,417.29 × 714.44
  4. Step 4: Simplify right side
    945.74x = 1,012,561.58
  5. Step 5: Solve for x
    x = 1,012,561.58/945.74
  6. Step 6: Final answer
    x = 1,070.66

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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.