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Finding the Fourth Proportional to 875.16, 1,207.10 and 580.28

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Solution

The fourth proportional to 875.16, 1,207.10 and 580.28 is: 800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,207.10 = 580.28 : x
  2. Step 2: Convert to fraction form
    875.16/1,207.10 = 580.28/x
  3. Step 3: Cross multiply
    875.16x = 1,207.10 × 580.28
  4. Step 4: Simplify right side
    875.16x = 700,455.99
  5. Step 5: Solve for x
    x = 700,455.99/875.16
  6. Step 6: Final answer
    x = 800.37

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1.5x scale

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.