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Finding the Fourth Proportional to 875.04, 1,206.72 and 653.76

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Solution

The fourth proportional to 875.04, 1,206.72 and 653.76 is: 901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.04 : 1,206.72 = 653.76 : x
  2. Step 2: Convert to fraction form
    875.04/1,206.72 = 653.76/x
  3. Step 3: Cross multiply
    875.04x = 1,206.72 × 653.76
  4. Step 4: Simplify right side
    875.04x = 788,905.27
  5. Step 5: Solve for x
    x = 788,905.27/875.04
  6. Step 6: Final answer
    x = 901.56

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