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Finding the Fourth Proportional to 954.14, 1,430.10 and 781.10

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Solution

The fourth proportional to 954.14, 1,430.10 and 781.10 is: 1,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.14 : 1,430.10 = 781.10 : x
  2. Step 2: Convert to fraction form
    954.14/1,430.10 = 781.10/x
  3. Step 3: Cross multiply
    954.14x = 1,430.10 × 781.10
  4. Step 4: Simplify right side
    954.14x = 1,117,051.11
  5. Step 5: Solve for x
    x = 1,117,051.11/954.14
  6. Step 6: Final answer
    x = 1,170.74

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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.