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Finding the Fourth Proportional to 760.92, 1,049.54 and 585.96

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Solution

The fourth proportional to 760.92, 1,049.54 and 585.96 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,049.54 = 585.96 : x
  2. Step 2: Convert to fraction form
    760.92/1,049.54 = 585.96/x
  3. Step 3: Cross multiply
    760.92x = 1,049.54 × 585.96
  4. Step 4: Simplify right side
    760.92x = 614,988.46
  5. Step 5: Solve for x
    x = 614,988.46/760.92
  6. Step 6: Final answer
    x = 808.22

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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.