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Finding the Fourth Proportional to 875.04, 1,207.64 and 525.72

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Solution

The fourth proportional to 875.04, 1,207.64 and 525.72 is: 725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.04 : 1,207.64 = 525.72 : x
  2. Step 2: Convert to fraction form
    875.04/1,207.64 = 525.72/x
  3. Step 3: Cross multiply
    875.04x = 1,207.64 × 525.72
  4. Step 4: Simplify right side
    875.04x = 634,880.50
  5. Step 5: Solve for x
    x = 634,880.50/875.04
  6. Step 6: Final answer
    x = 725.54

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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.