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Finding the Fourth Proportional to 760.66, 1,049.74 and 508.14

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Solution

The fourth proportional to 760.66, 1,049.74 and 508.14 is: 701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.66 : 1,049.74 = 508.14 : x
  2. Step 2: Convert to fraction form
    760.66/1,049.74 = 508.14/x
  3. Step 3: Cross multiply
    760.66x = 1,049.74 × 508.14
  4. Step 4: Simplify right side
    760.66x = 533,413.61
  5. Step 5: Solve for x
    x = 533,413.61/760.66
  6. Step 6: Final answer
    x = 701.25

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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.