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Finding the Fourth Proportional to 933.80, 1,288.52 and 514.10

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Solution

The fourth proportional to 933.80, 1,288.52 and 514.10 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,288.52 = 514.10 : x
  2. Step 2: Convert to fraction form
    933.80/1,288.52 = 514.10/x
  3. Step 3: Cross multiply
    933.80x = 1,288.52 × 514.10
  4. Step 4: Simplify right side
    933.80x = 662,430.71
  5. Step 5: Solve for x
    x = 662,430.71/933.80
  6. Step 6: Final answer
    x = 709.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.