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Finding the Fourth Proportional to 711.03, 1,070.32 and 507.01

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Solution

The fourth proportional to 711.03, 1,070.32 and 507.01 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.03 : 1,070.32 = 507.01 : x
  2. Step 2: Convert to fraction form
    711.03/1,070.32 = 507.01/x
  3. Step 3: Cross multiply
    711.03x = 1,070.32 × 507.01
  4. Step 4: Simplify right side
    711.03x = 542,661.68
  5. Step 5: Solve for x
    x = 542,661.68/711.03
  6. Step 6: Final answer
    x = 763.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.