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Finding the Fourth Proportional to 954.83, 1,430.82 and 564.91

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Solution

The fourth proportional to 954.83, 1,430.82 and 564.91 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.83 : 1,430.82 = 564.91 : x
  2. Step 2: Convert to fraction form
    954.83/1,430.82 = 564.91/x
  3. Step 3: Cross multiply
    954.83x = 1,430.82 × 564.91
  4. Step 4: Simplify right side
    954.83x = 808,284.53
  5. Step 5: Solve for x
    x = 808,284.53/954.83
  6. Step 6: Final answer
    x = 846.53

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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.