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Finding the Fourth Proportional to 760.01, 1,047.13 and 570.16

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Solution

The fourth proportional to 760.01, 1,047.13 and 570.16 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.01 : 1,047.13 = 570.16 : x
  2. Step 2: Convert to fraction form
    760.01/1,047.13 = 570.16/x
  3. Step 3: Cross multiply
    760.01x = 1,047.13 × 570.16
  4. Step 4: Simplify right side
    760.01x = 597,027.60
  5. Step 5: Solve for x
    x = 597,027.60/760.01
  6. Step 6: Final answer
    x = 785.55

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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.