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Finding the Fourth Proportional to 1,002.95, 1,384.08 and 560.84

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Solution

The fourth proportional to 1,002.95, 1,384.08 and 560.84 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.95 : 1,384.08 = 560.84 : x
  2. Step 2: Convert to fraction form
    1,002.95/1,384.08 = 560.84/x
  3. Step 3: Cross multiply
    1,002.95x = 1,384.08 × 560.84
  4. Step 4: Simplify right side
    1,002.95x = 776,240.51
  5. Step 5: Solve for x
    x = 776,240.51/1,002.95
  6. Step 6: Final answer
    x = 773.96

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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.