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Finding the Fourth Proportional to 1,000.05, 1,492.77 and 927.78

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Solution

The fourth proportional to 1,000.05, 1,492.77 and 927.78 is: 1,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.05 : 1,492.77 = 927.78 : x
  2. Step 2: Convert to fraction form
    1,000.05/1,492.77 = 927.78/x
  3. Step 3: Cross multiply
    1,000.05x = 1,492.77 × 927.78
  4. Step 4: Simplify right side
    1,000.05x = 1,384,962.15
  5. Step 5: Solve for x
    x = 1,384,962.15/1,000.05
  6. Step 6: Final answer
    x = 1,384.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.