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Finding the Fourth Proportional to 1,532.65, 2,298.59 and 437.02

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Solution

The fourth proportional to 1,532.65, 2,298.59 and 437.02 is: 655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.65 : 2,298.59 = 437.02 : x
  2. Step 2: Convert to fraction form
    1,532.65/2,298.59 = 437.02/x
  3. Step 3: Cross multiply
    1,532.65x = 2,298.59 × 437.02
  4. Step 4: Simplify right side
    1,532.65x = 1,004,527.82
  5. Step 5: Solve for x
    x = 1,004,527.82/1,532.65
  6. Step 6: Final answer
    x = 655.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.