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Finding the Fourth Proportional to 1,019.34, 1,526.46 and 653.01

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Solution

The fourth proportional to 1,019.34, 1,526.46 and 653.01 is: 977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.34 : 1,526.46 = 653.01 : x
  2. Step 2: Convert to fraction form
    1,019.34/1,526.46 = 653.01/x
  3. Step 3: Cross multiply
    1,019.34x = 1,526.46 × 653.01
  4. Step 4: Simplify right side
    1,019.34x = 996,793.64
  5. Step 5: Solve for x
    x = 996,793.64/1,019.34
  6. Step 6: Final answer
    x = 977.88

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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.