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Finding the Fourth Proportional to 875.12, 1,207.58 and 502.07

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Solution

The fourth proportional to 875.12, 1,207.58 and 502.07 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.12 : 1,207.58 = 502.07 : x
  2. Step 2: Convert to fraction form
    875.12/1,207.58 = 502.07/x
  3. Step 3: Cross multiply
    875.12x = 1,207.58 × 502.07
  4. Step 4: Simplify right side
    875.12x = 606,281.14
  5. Step 5: Solve for x
    x = 606,281.14/875.12
  6. Step 6: Final answer
    x = 692.80

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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.