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Finding the Fourth Proportional to 1,157.52, 1,733.28 and 972.00

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Solution

The fourth proportional to 1,157.52, 1,733.28 and 972.00 is: 1,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.52 : 1,733.28 = 972.00 : x
  2. Step 2: Convert to fraction form
    1,157.52/1,733.28 = 972.00/x
  3. Step 3: Cross multiply
    1,157.52x = 1,733.28 × 972.00
  4. Step 4: Simplify right side
    1,157.52x = 1,684,743.83
  5. Step 5: Solve for x
    x = 1,684,743.83/1,157.52
  6. Step 6: Final answer
    x = 1,455.47

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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.