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Finding the Fourth Proportional to 1,114.17, 1,669.65 and 626.19

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Solution

The fourth proportional to 1,114.17, 1,669.65 and 626.19 is: 938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.17 : 1,669.65 = 626.19 : x
  2. Step 2: Convert to fraction form
    1,114.17/1,669.65 = 626.19/x
  3. Step 3: Cross multiply
    1,114.17x = 1,669.65 × 626.19
  4. Step 4: Simplify right side
    1,114.17x = 1,045,518.13
  5. Step 5: Solve for x
    x = 1,045,518.13/1,114.17
  6. Step 6: Final answer
    x = 938.38

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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.