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Finding the Fourth Proportional to 1,030.04, 1,421.46 and 588.18

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Solution

The fourth proportional to 1,030.04, 1,421.46 and 588.18 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.04 : 1,421.46 = 588.18 : x
  2. Step 2: Convert to fraction form
    1,030.04/1,421.46 = 588.18/x
  3. Step 3: Cross multiply
    1,030.04x = 1,421.46 × 588.18
  4. Step 4: Simplify right side
    1,030.04x = 836,074.34
  5. Step 5: Solve for x
    x = 836,074.34/1,030.04
  6. Step 6: Final answer
    x = 811.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.