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Finding the Fourth Proportional to 954.32, 1,430.58 and 747.74

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Solution

The fourth proportional to 954.32, 1,430.58 and 747.74 is: 1,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.32 : 1,430.58 = 747.74 : x
  2. Step 2: Convert to fraction form
    954.32/1,430.58 = 747.74/x
  3. Step 3: Cross multiply
    954.32x = 1,430.58 × 747.74
  4. Step 4: Simplify right side
    954.32x = 1,069,701.89
  5. Step 5: Solve for x
    x = 1,069,701.89/954.32
  6. Step 6: Final answer
    x = 1,120.90

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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.