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Finding the Fourth Proportional to 875.71, 1,315.18 and 587.35

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Solution

The fourth proportional to 875.71, 1,315.18 and 587.35 is: 882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.71 : 1,315.18 = 587.35 : x
  2. Step 2: Convert to fraction form
    875.71/1,315.18 = 587.35/x
  3. Step 3: Cross multiply
    875.71x = 1,315.18 × 587.35
  4. Step 4: Simplify right side
    875.71x = 772,464.40
  5. Step 5: Solve for x
    x = 772,464.40/875.71
  6. Step 6: Final answer
    x = 882.11

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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.