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Finding the Fourth Proportional to 973.76, 1,458.72 and 424.64

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Solution

The fourth proportional to 973.76, 1,458.72 and 424.64 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.76 : 1,458.72 = 424.64 : x
  2. Step 2: Convert to fraction form
    973.76/1,458.72 = 424.64/x
  3. Step 3: Cross multiply
    973.76x = 1,458.72 × 424.64
  4. Step 4: Simplify right side
    973.76x = 619,430.86
  5. Step 5: Solve for x
    x = 619,430.86/973.76
  6. Step 6: Final answer
    x = 636.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.