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Finding the Fourth Proportional to 557.70, 782.40 and 557.70

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Solution

The fourth proportional to 557.70, 782.40 and 557.70 is: 782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 782.40 = 557.70 : x
  2. Step 2: Convert to fraction form
    557.70/782.40 = 557.70/x
  3. Step 3: Cross multiply
    557.70x = 782.40 × 557.70
  4. Step 4: Simplify right side
    557.70x = 436,344.48
  5. Step 5: Solve for x
    x = 436,344.48/557.70
  6. Step 6: Final answer
    x = 782.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.