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Finding the Fourth Proportional to 973.64, 1,459.30 and 561.93

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Solution

The fourth proportional to 973.64, 1,459.30 and 561.93 is: 842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.64 : 1,459.30 = 561.93 : x
  2. Step 2: Convert to fraction form
    973.64/1,459.30 = 561.93/x
  3. Step 3: Cross multiply
    973.64x = 1,459.30 × 561.93
  4. Step 4: Simplify right side
    973.64x = 820,024.45
  5. Step 5: Solve for x
    x = 820,024.45/973.64
  6. Step 6: Final answer
    x = 842.23

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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.