Home / 1,030.18-1,421.64-946.50

Finding the Fourth Proportional to 1,030.18, 1,421.64 and 946.50

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Solution

The fourth proportional to 1,030.18, 1,421.64 and 946.50 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.18 : 1,421.64 = 946.50 : x
  2. Step 2: Convert to fraction form
    1,030.18/1,421.64 = 946.50/x
  3. Step 3: Cross multiply
    1,030.18x = 1,421.64 × 946.50
  4. Step 4: Simplify right side
    1,030.18x = 1,345,582.26
  5. Step 5: Solve for x
    x = 1,345,582.26/1,030.18
  6. Step 6: Final answer
    x = 1,306.16

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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.