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Finding the Fourth Proportional to 760.24, 1,049.52 and 526.96

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Solution

The fourth proportional to 760.24, 1,049.52 and 526.96 is: 727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.24 : 1,049.52 = 526.96 : x
  2. Step 2: Convert to fraction form
    760.24/1,049.52 = 526.96/x
  3. Step 3: Cross multiply
    760.24x = 1,049.52 × 526.96
  4. Step 4: Simplify right side
    760.24x = 553,055.06
  5. Step 5: Solve for x
    x = 553,055.06/760.24
  6. Step 6: Final answer
    x = 727.47

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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.