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Finding the Fourth Proportional to 760.01, 1,140.35 and 467.95

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Solution

The fourth proportional to 760.01, 1,140.35 and 467.95 is: 702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.01 : 1,140.35 = 467.95 : x
  2. Step 2: Convert to fraction form
    760.01/1,140.35 = 467.95/x
  3. Step 3: Cross multiply
    760.01x = 1,140.35 × 467.95
  4. Step 4: Simplify right side
    760.01x = 533,626.78
  5. Step 5: Solve for x
    x = 533,626.78/760.01
  6. Step 6: Final answer
    x = 702.14

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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.