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Finding the Fourth Proportional to 1,134.80, 1,565.96 and 715.02

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Solution

The fourth proportional to 1,134.80, 1,565.96 and 715.02 is: 986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.80 : 1,565.96 = 715.02 : x
  2. Step 2: Convert to fraction form
    1,134.80/1,565.96 = 715.02/x
  3. Step 3: Cross multiply
    1,134.80x = 1,565.96 × 715.02
  4. Step 4: Simplify right side
    1,134.80x = 1,119,692.72
  5. Step 5: Solve for x
    x = 1,119,692.72/1,134.80
  6. Step 6: Final answer
    x = 986.69

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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.