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Finding the Fourth Proportional to 954.34, 1,430.52 and 542.59

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Solution

The fourth proportional to 954.34, 1,430.52 and 542.59 is: 813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.34 : 1,430.52 = 542.59 : x
  2. Step 2: Convert to fraction form
    954.34/1,430.52 = 542.59/x
  3. Step 3: Cross multiply
    954.34x = 1,430.52 × 542.59
  4. Step 4: Simplify right side
    954.34x = 776,185.85
  5. Step 5: Solve for x
    x = 776,185.85/954.34
  6. Step 6: Final answer
    x = 813.32

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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.