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Finding the Fourth Proportional to 1,563.17, 2,346.35 and 783.72

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Solution

The fourth proportional to 1,563.17, 2,346.35 and 783.72 is: 1,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.17 : 2,346.35 = 783.72 : x
  2. Step 2: Convert to fraction form
    1,563.17/2,346.35 = 783.72/x
  3. Step 3: Cross multiply
    1,563.17x = 2,346.35 × 783.72
  4. Step 4: Simplify right side
    1,563.17x = 1,838,877.50
  5. Step 5: Solve for x
    x = 1,838,877.50/1,563.17
  6. Step 6: Final answer
    x = 1,176.38

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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.