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Finding the Fourth Proportional to 921.63, 1,271.58 and 567.60

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Solution

The fourth proportional to 921.63, 1,271.58 and 567.60 is: 783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.63 : 1,271.58 = 567.60 : x
  2. Step 2: Convert to fraction form
    921.63/1,271.58 = 567.60/x
  3. Step 3: Cross multiply
    921.63x = 1,271.58 × 567.60
  4. Step 4: Simplify right side
    921.63x = 721,748.81
  5. Step 5: Solve for x
    x = 721,748.81/921.63
  6. Step 6: Final answer
    x = 783.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.