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Finding the Fourth Proportional to 1,315.95, 1,973.62 and 585.13

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Solution

The fourth proportional to 1,315.95, 1,973.62 and 585.13 is: 877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.95 : 1,973.62 = 585.13 : x
  2. Step 2: Convert to fraction form
    1,315.95/1,973.62 = 585.13/x
  3. Step 3: Cross multiply
    1,315.95x = 1,973.62 × 585.13
  4. Step 4: Simplify right side
    1,315.95x = 1,154,811.48
  5. Step 5: Solve for x
    x = 1,154,811.48/1,315.95
  6. Step 6: Final answer
    x = 877.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.