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Finding the Fourth Proportional to 1,051.50, 1,451.07 and 585.75

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Solution

The fourth proportional to 1,051.50, 1,451.07 and 585.75 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,451.07 = 585.75 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,451.07 = 585.75/x
  3. Step 3: Cross multiply
    1,051.50x = 1,451.07 × 585.75
  4. Step 4: Simplify right side
    1,051.50x = 849,964.25
  5. Step 5: Solve for x
    x = 849,964.25/1,051.50
  6. Step 6: Final answer
    x = 808.34

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Double scale
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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.