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Finding the Fourth Proportional to 760.49, 1,048.85 and 465.55

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Solution

The fourth proportional to 760.49, 1,048.85 and 465.55 is: 642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.49 : 1,048.85 = 465.55 : x
  2. Step 2: Convert to fraction form
    760.49/1,048.85 = 465.55/x
  3. Step 3: Cross multiply
    760.49x = 1,048.85 × 465.55
  4. Step 4: Simplify right side
    760.49x = 488,288.91
  5. Step 5: Solve for x
    x = 488,288.91/760.49
  6. Step 6: Final answer
    x = 642.07

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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.