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Finding the Fourth Proportional to 875.15, 1,207.71 and 502.10

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Solution

The fourth proportional to 875.15, 1,207.71 and 502.10 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.15 : 1,207.71 = 502.10 : x
  2. Step 2: Convert to fraction form
    875.15/1,207.71 = 502.10/x
  3. Step 3: Cross multiply
    875.15x = 1,207.71 × 502.10
  4. Step 4: Simplify right side
    875.15x = 606,382.64
  5. Step 5: Solve for x
    x = 606,382.64/875.15
  6. Step 6: Final answer
    x = 692.89

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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.