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Finding the Fourth Proportional to 1,527.32, 2,289.35 and 649.62

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Solution

The fourth proportional to 1,527.32, 2,289.35 and 649.62 is: 973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.32 : 2,289.35 = 649.62 : x
  2. Step 2: Convert to fraction form
    1,527.32/2,289.35 = 649.62/x
  3. Step 3: Cross multiply
    1,527.32x = 2,289.35 × 649.62
  4. Step 4: Simplify right side
    1,527.32x = 1,487,209.17
  5. Step 5: Solve for x
    x = 1,487,209.17/1,527.32
  6. Step 6: Final answer
    x = 973.74

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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.