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Finding the Fourth Proportional to 954.24, 1,430.16 and 543.60

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Solution

The fourth proportional to 954.24, 1,430.16 and 543.60 is: 814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,430.16 = 543.60 : x
  2. Step 2: Convert to fraction form
    954.24/1,430.16 = 543.60/x
  3. Step 3: Cross multiply
    954.24x = 1,430.16 × 543.60
  4. Step 4: Simplify right side
    954.24x = 777,434.98
  5. Step 5: Solve for x
    x = 777,434.98/954.24
  6. Step 6: Final answer
    x = 814.72

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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.