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Finding the Fourth Proportional to 1,000.48, 1,380.24 and 705.76

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Solution

The fourth proportional to 1,000.48, 1,380.24 and 705.76 is: 973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.48 : 1,380.24 = 705.76 : x
  2. Step 2: Convert to fraction form
    1,000.48/1,380.24 = 705.76/x
  3. Step 3: Cross multiply
    1,000.48x = 1,380.24 × 705.76
  4. Step 4: Simplify right side
    1,000.48x = 974,118.18
  5. Step 5: Solve for x
    x = 974,118.18/1,000.48
  6. Step 6: Final answer
    x = 973.65

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1.5x scale

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.