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Finding the Fourth Proportional to 875.36, 1,312.87 and 510.86

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Solution

The fourth proportional to 875.36, 1,312.87 and 510.86 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.36 : 1,312.87 = 510.86 : x
  2. Step 2: Convert to fraction form
    875.36/1,312.87 = 510.86/x
  3. Step 3: Cross multiply
    875.36x = 1,312.87 × 510.86
  4. Step 4: Simplify right side
    875.36x = 670,692.77
  5. Step 5: Solve for x
    x = 670,692.77/875.36
  6. Step 6: Final answer
    x = 766.19

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Why These Related Problems?

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