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Finding the Fourth Proportional to 875.63, 1,313.45 and 465.07

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Solution

The fourth proportional to 875.63, 1,313.45 and 465.07 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,313.45 = 465.07 : x
  2. Step 2: Convert to fraction form
    875.63/1,313.45 = 465.07/x
  3. Step 3: Cross multiply
    875.63x = 1,313.45 × 465.07
  4. Step 4: Simplify right side
    875.63x = 610,843.87
  5. Step 5: Solve for x
    x = 610,843.87/875.63
  6. Step 6: Final answer
    x = 697.61

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1.5x scale

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.