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Finding the Fourth Proportional to 1,030.02, 1,421.89 and 657.50

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Solution

The fourth proportional to 1,030.02, 1,421.89 and 657.50 is: 907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.02 : 1,421.89 = 657.50 : x
  2. Step 2: Convert to fraction form
    1,030.02/1,421.89 = 657.50/x
  3. Step 3: Cross multiply
    1,030.02x = 1,421.89 × 657.50
  4. Step 4: Simplify right side
    1,030.02x = 934,892.68
  5. Step 5: Solve for x
    x = 934,892.68/1,030.02
  6. Step 6: Final answer
    x = 907.65

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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.